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Finding the Fourth Proportional to 5,454.66, 8,182.02 and 1,559.10

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Solution

The fourth proportional to 5,454.66, 8,182.02 and 1,559.10 is: 2,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.66 : 8,182.02 = 1,559.10 : x
  2. Step 2: Convert to fraction form
    5,454.66/8,182.02 = 1,559.10/x
  3. Step 3: Cross multiply
    5,454.66x = 8,182.02 × 1,559.10
  4. Step 4: Simplify right side
    5,454.66x = 12,756,587.38
  5. Step 5: Solve for x
    x = 12,756,587.38/5,454.66
  6. Step 6: Final answer
    x = 2,338.66

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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.