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Finding the Fourth Proportional to 5,652.55, 7,800.25 and 3,134.46

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Solution

The fourth proportional to 5,652.55, 7,800.25 and 3,134.46 is: 4,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.55 : 7,800.25 = 3,134.46 : x
  2. Step 2: Convert to fraction form
    5,652.55/7,800.25 = 3,134.46/x
  3. Step 3: Cross multiply
    5,652.55x = 7,800.25 × 3,134.46
  4. Step 4: Simplify right side
    5,652.55x = 24,449,598.91
  5. Step 5: Solve for x
    x = 24,449,598.91/5,652.55
  6. Step 6: Final answer
    x = 4,325.41

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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.