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Finding the Fourth Proportional to 5,929.85, 8,894.77 and 5,569.00

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Solution

The fourth proportional to 5,929.85, 8,894.77 and 5,569.00 is: 8,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.85 : 8,894.77 = 5,569.00 : x
  2. Step 2: Convert to fraction form
    5,929.85/8,894.77 = 5,569.00/x
  3. Step 3: Cross multiply
    5,929.85x = 8,894.77 × 5,569.00
  4. Step 4: Simplify right side
    5,929.85x = 49,534,937.97
  5. Step 5: Solve for x
    x = 49,534,937.97/5,929.85
  6. Step 6: Final answer
    x = 8,353.49

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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.