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Finding the Fourth Proportional to 3,006.72, 4,509.36 and 1,032.12

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Solution

The fourth proportional to 3,006.72, 4,509.36 and 1,032.12 is: 1,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.72 : 4,509.36 = 1,032.12 : x
  2. Step 2: Convert to fraction form
    3,006.72/4,509.36 = 1,032.12/x
  3. Step 3: Cross multiply
    3,006.72x = 4,509.36 × 1,032.12
  4. Step 4: Simplify right side
    3,006.72x = 4,654,200.64
  5. Step 5: Solve for x
    x = 4,654,200.64/3,006.72
  6. Step 6: Final answer
    x = 1,547.93

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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.