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Finding the Fourth Proportional to 4,098.84, 5,657.30 and 2,606.47

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Solution

The fourth proportional to 4,098.84, 5,657.30 and 2,606.47 is: 3,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.84 : 5,657.30 = 2,606.47 : x
  2. Step 2: Convert to fraction form
    4,098.84/5,657.30 = 2,606.47/x
  3. Step 3: Cross multiply
    4,098.84x = 5,657.30 × 2,606.47
  4. Step 4: Simplify right side
    4,098.84x = 14,745,553.71
  5. Step 5: Solve for x
    x = 14,745,553.71/4,098.84
  6. Step 6: Final answer
    x = 3,597.49

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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.