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Finding the Fourth Proportional to 5,627.53, 8,440.35 and 1,929.88

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Solution

The fourth proportional to 5,627.53, 8,440.35 and 1,929.88 is: 2,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.53 : 8,440.35 = 1,929.88 : x
  2. Step 2: Convert to fraction form
    5,627.53/8,440.35 = 1,929.88/x
  3. Step 3: Cross multiply
    5,627.53x = 8,440.35 × 1,929.88
  4. Step 4: Simplify right side
    5,627.53x = 16,288,862.66
  5. Step 5: Solve for x
    x = 16,288,862.66/5,627.53
  6. Step 6: Final answer
    x = 2,894.50

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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.