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Finding the Fourth Proportional to 3,116.87, 4,657.04 and 3,007.86

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Solution

The fourth proportional to 3,116.87, 4,657.04 and 3,007.86 is: 4,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.87 : 4,657.04 = 3,007.86 : x
  2. Step 2: Convert to fraction form
    3,116.87/4,657.04 = 3,007.86/x
  3. Step 3: Cross multiply
    3,116.87x = 4,657.04 × 3,007.86
  4. Step 4: Simplify right side
    3,116.87x = 14,007,701.05
  5. Step 5: Solve for x
    x = 14,007,701.05/3,116.87
  6. Step 6: Final answer
    x = 4,494.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.