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Finding the Fourth Proportional to 5,612.88, 7,742.76 and 3,374.16

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Solution

The fourth proportional to 5,612.88, 7,742.76 and 3,374.16 is: 4,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.88 : 7,742.76 = 3,374.16 : x
  2. Step 2: Convert to fraction form
    5,612.88/7,742.76 = 3,374.16/x
  3. Step 3: Cross multiply
    5,612.88x = 7,742.76 × 3,374.16
  4. Step 4: Simplify right side
    5,612.88x = 26,125,311.08
  5. Step 5: Solve for x
    x = 26,125,311.08/5,612.88
  6. Step 6: Final answer
    x = 4,654.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.