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Finding the Fourth Proportional to 4,575.76, 6,862.10 and 1,801.70

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Solution

The fourth proportional to 4,575.76, 6,862.10 and 1,801.70 is: 2,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.76 : 6,862.10 = 1,801.70 : x
  2. Step 2: Convert to fraction form
    4,575.76/6,862.10 = 1,801.70/x
  3. Step 3: Cross multiply
    4,575.76x = 6,862.10 × 1,801.70
  4. Step 4: Simplify right side
    4,575.76x = 12,363,445.57
  5. Step 5: Solve for x
    x = 12,363,445.57/4,575.76
  6. Step 6: Final answer
    x = 2,701.94

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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.