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Finding the Fourth Proportional to 5,658.76, 7,804.30 and 3,642.52

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Solution

The fourth proportional to 5,658.76, 7,804.30 and 3,642.52 is: 5,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.76 : 7,804.30 = 3,642.52 : x
  2. Step 2: Convert to fraction form
    5,658.76/7,804.30 = 3,642.52/x
  3. Step 3: Cross multiply
    5,658.76x = 7,804.30 × 3,642.52
  4. Step 4: Simplify right side
    5,658.76x = 28,427,311.68
  5. Step 5: Solve for x
    x = 28,427,311.68/5,658.76
  6. Step 6: Final answer
    x = 5,023.59

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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.