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Finding the Fourth Proportional to 3,648.58, 5,031.93 and 3,084.15

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Solution

The fourth proportional to 3,648.58, 5,031.93 and 3,084.15 is: 4,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.58 : 5,031.93 = 3,084.15 : x
  2. Step 2: Convert to fraction form
    3,648.58/5,031.93 = 3,084.15/x
  3. Step 3: Cross multiply
    3,648.58x = 5,031.93 × 3,084.15
  4. Step 4: Simplify right side
    3,648.58x = 15,519,226.91
  5. Step 5: Solve for x
    x = 15,519,226.91/3,648.58
  6. Step 6: Final answer
    x = 4,253.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.