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Finding the Fourth Proportional to 5,708.46, 7,880.31 and 3,615.42

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Solution

The fourth proportional to 5,708.46, 7,880.31 and 3,615.42 is: 4,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.46 : 7,880.31 = 3,615.42 : x
  2. Step 2: Convert to fraction form
    5,708.46/7,880.31 = 3,615.42/x
  3. Step 3: Cross multiply
    5,708.46x = 7,880.31 × 3,615.42
  4. Step 4: Simplify right side
    5,708.46x = 28,490,630.38
  5. Step 5: Solve for x
    x = 28,490,630.38/5,708.46
  6. Step 6: Final answer
    x = 4,990.95

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Why These Related Problems?

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