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Finding the Fourth Proportional to 4,957.84, 6,830.22 and 3,463.12

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Solution

The fourth proportional to 4,957.84, 6,830.22 and 3,463.12 is: 4,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.84 : 6,830.22 = 3,463.12 : x
  2. Step 2: Convert to fraction form
    4,957.84/6,830.22 = 3,463.12/x
  3. Step 3: Cross multiply
    4,957.84x = 6,830.22 × 3,463.12
  4. Step 4: Simplify right side
    4,957.84x = 23,653,871.49
  5. Step 5: Solve for x
    x = 23,653,871.49/4,957.84
  6. Step 6: Final answer
    x = 4,771.00

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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.