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Finding the Fourth Proportional to 5,653,957.22, 7,802,455.05 and 3,075,631.84

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Solution

The fourth proportional to 5,653,957.22, 7,802,455.05 and 3,075,631.84 is: 4,244,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653,957.22 : 7,802,455.05 = 3,075,631.84 : x
  2. Step 2: Convert to fraction form
    5,653,957.22/7,802,455.05 = 3,075,631.84/x
  3. Step 3: Cross multiply
    5,653,957.22x = 7,802,455.05 × 3,075,631.84
  4. Step 4: Simplify right side
    5,653,957.22x = 23,997,479,166,287.19
  5. Step 5: Solve for x
    x = 23,997,479,166,287.19/5,653,957.22
  6. Step 6: Final answer
    x = 4,244,368.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.