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Finding the Fourth Proportional to 5,752.32, 8,613.84 and 3,801.60

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Solution

The fourth proportional to 5,752.32, 8,613.84 and 3,801.60 is: 5,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.32 : 8,613.84 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    5,752.32/8,613.84 = 3,801.60/x
  3. Step 3: Cross multiply
    5,752.32x = 8,613.84 × 3,801.60
  4. Step 4: Simplify right side
    5,752.32x = 32,746,374.14
  5. Step 5: Solve for x
    x = 32,746,374.14/5,752.32
  6. Step 6: Final answer
    x = 5,692.72

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1.5x scale

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.