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Finding the Fourth Proportional to 5,339.30, 8,008.95 and 1,641.50

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Solution

The fourth proportional to 5,339.30, 8,008.95 and 1,641.50 is: 2,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.30 : 8,008.95 = 1,641.50 : x
  2. Step 2: Convert to fraction form
    5,339.30/8,008.95 = 1,641.50/x
  3. Step 3: Cross multiply
    5,339.30x = 8,008.95 × 1,641.50
  4. Step 4: Simplify right side
    5,339.30x = 13,146,711.45
  5. Step 5: Solve for x
    x = 13,146,711.45/5,339.30
  6. Step 6: Final answer
    x = 2,462.26

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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.