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Finding the Fourth Proportional to 3,006.50, 4,509.82 and 1,032.13

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Solution

The fourth proportional to 3,006.50, 4,509.82 and 1,032.13 is: 1,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.50 : 4,509.82 = 1,032.13 : x
  2. Step 2: Convert to fraction form
    3,006.50/4,509.82 = 1,032.13/x
  3. Step 3: Cross multiply
    3,006.50x = 4,509.82 × 1,032.13
  4. Step 4: Simplify right side
    3,006.50x = 4,654,695.39
  5. Step 5: Solve for x
    x = 4,654,695.39/3,006.50
  6. Step 6: Final answer
    x = 1,548.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.