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Finding the Fourth Proportional to 5,842.60, 8,742.30 and 5,324.20

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Solution

The fourth proportional to 5,842.60, 8,742.30 and 5,324.20 is: 7,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.60 : 8,742.30 = 5,324.20 : x
  2. Step 2: Convert to fraction form
    5,842.60/8,742.30 = 5,324.20/x
  3. Step 3: Cross multiply
    5,842.60x = 8,742.30 × 5,324.20
  4. Step 4: Simplify right side
    5,842.60x = 46,545,753.66
  5. Step 5: Solve for x
    x = 46,545,753.66/5,842.60
  6. Step 6: Final answer
    x = 7,966.62

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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.