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Finding the Fourth Proportional to 4,691.60, 7,035.67 and 1,403.58

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Solution

The fourth proportional to 4,691.60, 7,035.67 and 1,403.58 is: 2,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.60 : 7,035.67 = 1,403.58 : x
  2. Step 2: Convert to fraction form
    4,691.60/7,035.67 = 1,403.58/x
  3. Step 3: Cross multiply
    4,691.60x = 7,035.67 × 1,403.58
  4. Step 4: Simplify right side
    4,691.60x = 9,875,125.70
  5. Step 5: Solve for x
    x = 9,875,125.70/4,691.60
  6. Step 6: Final answer
    x = 2,104.85

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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.