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Finding the Fourth Proportional to 5,583.52, 7,697.02 and 4,254.92

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Solution

The fourth proportional to 5,583.52, 7,697.02 and 4,254.92 is: 5,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.52 : 7,697.02 = 4,254.92 : x
  2. Step 2: Convert to fraction form
    5,583.52/7,697.02 = 4,254.92/x
  3. Step 3: Cross multiply
    5,583.52x = 7,697.02 × 4,254.92
  4. Step 4: Simplify right side
    5,583.52x = 32,750,204.34
  5. Step 5: Solve for x
    x = 32,750,204.34/5,583.52
  6. Step 6: Final answer
    x = 5,865.51

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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.