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Finding the Fourth Proportional to 6,312.89, 8,711.85 and 3,480.32

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Solution

The fourth proportional to 6,312.89, 8,711.85 and 3,480.32 is: 4,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.89 : 8,711.85 = 3,480.32 : x
  2. Step 2: Convert to fraction form
    6,312.89/8,711.85 = 3,480.32/x
  3. Step 3: Cross multiply
    6,312.89x = 8,711.85 × 3,480.32
  4. Step 4: Simplify right side
    6,312.89x = 30,319,982.23
  5. Step 5: Solve for x
    x = 30,319,982.23/6,312.89
  6. Step 6: Final answer
    x = 4,802.87

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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.