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Finding the Fourth Proportional to 5,345.80, 8,007.90 and 3,034.60

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Solution

The fourth proportional to 5,345.80, 8,007.90 and 3,034.60 is: 4,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.80 : 8,007.90 = 3,034.60 : x
  2. Step 2: Convert to fraction form
    5,345.80/8,007.90 = 3,034.60/x
  3. Step 3: Cross multiply
    5,345.80x = 8,007.90 × 3,034.60
  4. Step 4: Simplify right side
    5,345.80x = 24,300,773.34
  5. Step 5: Solve for x
    x = 24,300,773.34/5,345.80
  6. Step 6: Final answer
    x = 4,545.77

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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.