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Finding the Fourth Proportional to 4,687.32, 7,032.06 and 1,765.68

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Solution

The fourth proportional to 4,687.32, 7,032.06 and 1,765.68 is: 2,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.32 : 7,032.06 = 1,765.68 : x
  2. Step 2: Convert to fraction form
    4,687.32/7,032.06 = 1,765.68/x
  3. Step 3: Cross multiply
    4,687.32x = 7,032.06 × 1,765.68
  4. Step 4: Simplify right side
    4,687.32x = 12,416,367.70
  5. Step 5: Solve for x
    x = 12,416,367.70/4,687.32
  6. Step 6: Final answer
    x = 2,648.93

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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.