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Finding the Fourth Proportional to 5,842.64, 8,761.80 and 4,595.68

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Solution

The fourth proportional to 5,842.64, 8,761.80 and 4,595.68 is: 6,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.64 : 8,761.80 = 4,595.68 : x
  2. Step 2: Convert to fraction form
    5,842.64/8,761.80 = 4,595.68/x
  3. Step 3: Cross multiply
    5,842.64x = 8,761.80 × 4,595.68
  4. Step 4: Simplify right side
    5,842.64x = 40,266,429.02
  5. Step 5: Solve for x
    x = 40,266,429.02/5,842.64
  6. Step 6: Final answer
    x = 6,891.82

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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.