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Finding the Fourth Proportional to 4,732.53, 7,098.18 and 1,445.95

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Solution

The fourth proportional to 4,732.53, 7,098.18 and 1,445.95 is: 2,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.53 : 7,098.18 = 1,445.95 : x
  2. Step 2: Convert to fraction form
    4,732.53/7,098.18 = 1,445.95/x
  3. Step 3: Cross multiply
    4,732.53x = 7,098.18 × 1,445.95
  4. Step 4: Simplify right side
    4,732.53x = 10,263,613.37
  5. Step 5: Solve for x
    x = 10,263,613.37/4,732.53
  6. Step 6: Final answer
    x = 2,168.74

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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.