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Finding the Fourth Proportional to 4,663.59, 6,430.91 and 3,601.53

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Solution

The fourth proportional to 4,663.59, 6,430.91 and 3,601.53 is: 4,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.59 : 6,430.91 = 3,601.53 : x
  2. Step 2: Convert to fraction form
    4,663.59/6,430.91 = 3,601.53/x
  3. Step 3: Cross multiply
    4,663.59x = 6,430.91 × 3,601.53
  4. Step 4: Simplify right side
    4,663.59x = 23,161,115.29
  5. Step 5: Solve for x
    x = 23,161,115.29/4,663.59
  6. Step 6: Final answer
    x = 4,966.37

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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.