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Finding the Fourth Proportional to 4,645.98, 6,411.03 and 2,657.10

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Solution

The fourth proportional to 4,645.98, 6,411.03 and 2,657.10 is: 3,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.98 : 6,411.03 = 2,657.10 : x
  2. Step 2: Convert to fraction form
    4,645.98/6,411.03 = 2,657.10/x
  3. Step 3: Cross multiply
    4,645.98x = 6,411.03 × 2,657.10
  4. Step 4: Simplify right side
    4,645.98x = 17,034,747.81
  5. Step 5: Solve for x
    x = 17,034,747.81/4,645.98
  6. Step 6: Final answer
    x = 3,666.56

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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.