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Finding the Fourth Proportional to 4,655.90, 6,424.29 and 3,770.16

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Solution

The fourth proportional to 4,655.90, 6,424.29 and 3,770.16 is: 5,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.90 : 6,424.29 = 3,770.16 : x
  2. Step 2: Convert to fraction form
    4,655.90/6,424.29 = 3,770.16/x
  3. Step 3: Cross multiply
    4,655.90x = 6,424.29 × 3,770.16
  4. Step 4: Simplify right side
    4,655.90x = 24,220,601.19
  5. Step 5: Solve for x
    x = 24,220,601.19/4,655.90
  6. Step 6: Final answer
    x = 5,202.14

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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.