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Finding the Fourth Proportional to 5,742.27, 7,925.85 and 5,393.76

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Solution

The fourth proportional to 5,742.27, 7,925.85 and 5,393.76 is: 7,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.27 : 7,925.85 = 5,393.76 : x
  2. Step 2: Convert to fraction form
    5,742.27/7,925.85 = 5,393.76/x
  3. Step 3: Cross multiply
    5,742.27x = 7,925.85 × 5,393.76
  4. Step 4: Simplify right side
    5,742.27x = 42,750,132.70
  5. Step 5: Solve for x
    x = 42,750,132.70/5,742.27
  6. Step 6: Final answer
    x = 7,444.81

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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.