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Finding the Fourth Proportional to 4,657.56, 6,425.87 and 2,640.76

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Solution

The fourth proportional to 4,657.56, 6,425.87 and 2,640.76 is: 3,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.56 : 6,425.87 = 2,640.76 : x
  2. Step 2: Convert to fraction form
    4,657.56/6,425.87 = 2,640.76/x
  3. Step 3: Cross multiply
    4,657.56x = 6,425.87 × 2,640.76
  4. Step 4: Simplify right side
    4,657.56x = 16,969,151.19
  5. Step 5: Solve for x
    x = 16,969,151.19/4,657.56
  6. Step 6: Final answer
    x = 3,643.35

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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.