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Finding the Fourth Proportional to 5,697.12, 7,862.76 and 4,582.56

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Solution

The fourth proportional to 5,697.12, 7,862.76 and 4,582.56 is: 6,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.12 : 7,862.76 = 4,582.56 : x
  2. Step 2: Convert to fraction form
    5,697.12/7,862.76 = 4,582.56/x
  3. Step 3: Cross multiply
    5,697.12x = 7,862.76 × 4,582.56
  4. Step 4: Simplify right side
    5,697.12x = 36,031,569.47
  5. Step 5: Solve for x
    x = 36,031,569.47/5,697.12
  6. Step 6: Final answer
    x = 6,324.52

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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.