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Finding the Fourth Proportional to 3,006.38, 4,509.63 and 1,032

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Solution

The fourth proportional to 3,006.38, 4,509.63 and 1,032 is: 1,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.38 : 4,509.63 = 1,032 : x
  2. Step 2: Convert to fraction form
    3,006.38/4,509.63 = 1,032/x
  3. Step 3: Cross multiply
    3,006.38x = 4,509.63 × 1,032
  4. Step 4: Simplify right side
    3,006.38x = 4,653,938.16
  5. Step 5: Solve for x
    x = 4,653,938.16/3,006.38
  6. Step 6: Final answer
    x = 1,548.02

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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.