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Finding the Fourth Proportional to 3,742.62, 5,613.93 and 1,145.53

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Solution

The fourth proportional to 3,742.62, 5,613.93 and 1,145.53 is: 1,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.62 : 5,613.93 = 1,145.53 : x
  2. Step 2: Convert to fraction form
    3,742.62/5,613.93 = 1,145.53/x
  3. Step 3: Cross multiply
    3,742.62x = 5,613.93 × 1,145.53
  4. Step 4: Simplify right side
    3,742.62x = 6,430,925.23
  5. Step 5: Solve for x
    x = 6,430,925.23/3,742.62
  6. Step 6: Final answer
    x = 1,718.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.