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Finding the Fourth Proportional to 4,701.60, 7,032.15 and 4,211.55

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Solution

The fourth proportional to 4,701.60, 7,032.15 and 4,211.55 is: 6,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.60 : 7,032.15 = 4,211.55 : x
  2. Step 2: Convert to fraction form
    4,701.60/7,032.15 = 4,211.55/x
  3. Step 3: Cross multiply
    4,701.60x = 7,032.15 × 4,211.55
  4. Step 4: Simplify right side
    4,701.60x = 29,616,251.33
  5. Step 5: Solve for x
    x = 29,616,251.33/4,701.60
  6. Step 6: Final answer
    x = 6,299.19

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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.