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Finding the Fourth Proportional to 5,158.22, 7,741.98 and 3,488.30

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Solution

The fourth proportional to 5,158.22, 7,741.98 and 3,488.30 is: 5,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.22 : 7,741.98 = 3,488.30 : x
  2. Step 2: Convert to fraction form
    5,158.22/7,741.98 = 3,488.30/x
  3. Step 3: Cross multiply
    5,158.22x = 7,741.98 × 3,488.30
  4. Step 4: Simplify right side
    5,158.22x = 27,006,339.16
  5. Step 5: Solve for x
    x = 27,006,339.16/5,158.22
  6. Step 6: Final answer
    x = 5,235.60

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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.