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Finding the Fourth Proportional to 6,382.52, 9,572.10 and 2,870.56

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Solution

The fourth proportional to 6,382.52, 9,572.10 and 2,870.56 is: 4,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.52 : 9,572.10 = 2,870.56 : x
  2. Step 2: Convert to fraction form
    6,382.52/9,572.10 = 2,870.56/x
  3. Step 3: Cross multiply
    6,382.52x = 9,572.10 × 2,870.56
  4. Step 4: Simplify right side
    6,382.52x = 27,477,287.38
  5. Step 5: Solve for x
    x = 27,477,287.38/6,382.52
  6. Step 6: Final answer
    x = 4,305.08

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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.