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Finding the Fourth Proportional to 4,397.68, 6,566.38 and 3,748.08

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Solution

The fourth proportional to 4,397.68, 6,566.38 and 3,748.08 is: 5,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.68 : 6,566.38 = 3,748.08 : x
  2. Step 2: Convert to fraction form
    4,397.68/6,566.38 = 3,748.08/x
  3. Step 3: Cross multiply
    4,397.68x = 6,566.38 × 3,748.08
  4. Step 4: Simplify right side
    4,397.68x = 24,611,317.55
  5. Step 5: Solve for x
    x = 24,611,317.55/4,397.68
  6. Step 6: Final answer
    x = 5,596.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.