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Finding the Fourth Proportional to 5,930.35, 8,895.52 and 5,569.50

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Solution

The fourth proportional to 5,930.35, 8,895.52 and 5,569.50 is: 8,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.35 : 8,895.52 = 5,569.50 : x
  2. Step 2: Convert to fraction form
    5,930.35/8,895.52 = 5,569.50/x
  3. Step 3: Cross multiply
    5,930.35x = 8,895.52 × 5,569.50
  4. Step 4: Simplify right side
    5,930.35x = 49,543,562.48
  5. Step 5: Solve for x
    x = 49,543,562.48/5,930.35
  6. Step 6: Final answer
    x = 8,354.24

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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.