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Finding the Fourth Proportional to 3,006.89, 4,509.18 and 1,032.15

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Solution

The fourth proportional to 3,006.89, 4,509.18 and 1,032.15 is: 1,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.89 : 4,509.18 = 1,032.15 : x
  2. Step 2: Convert to fraction form
    3,006.89/4,509.18 = 1,032.15/x
  3. Step 3: Cross multiply
    3,006.89x = 4,509.18 × 1,032.15
  4. Step 4: Simplify right side
    3,006.89x = 4,654,155.33
  5. Step 5: Solve for x
    x = 4,654,155.33/3,006.89
  6. Step 6: Final answer
    x = 1,547.83

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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.