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Finding the Fourth Proportional to 5,374.74, 8,046.18 and 4,811.61

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Solution

The fourth proportional to 5,374.74, 8,046.18 and 4,811.61 is: 7,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.74 : 8,046.18 = 4,811.61 : x
  2. Step 2: Convert to fraction form
    5,374.74/8,046.18 = 4,811.61/x
  3. Step 3: Cross multiply
    5,374.74x = 8,046.18 × 4,811.61
  4. Step 4: Simplify right side
    5,374.74x = 38,715,080.15
  5. Step 5: Solve for x
    x = 38,715,080.15/5,374.74
  6. Step 6: Final answer
    x = 7,203.15

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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.