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Finding the Fourth Proportional to 5,777.64, 7,957.98 and 5,435.10

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Solution

The fourth proportional to 5,777.64, 7,957.98 and 5,435.10 is: 7,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.64 : 7,957.98 = 5,435.10 : x
  2. Step 2: Convert to fraction form
    5,777.64/7,957.98 = 5,435.10/x
  3. Step 3: Cross multiply
    5,777.64x = 7,957.98 × 5,435.10
  4. Step 4: Simplify right side
    5,777.64x = 43,252,417.10
  5. Step 5: Solve for x
    x = 43,252,417.10/5,777.64
  6. Step 6: Final answer
    x = 7,486.17

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