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Finding the Fourth Proportional to 2,988.53, 4,475.84 and 2,884.71

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Solution

The fourth proportional to 2,988.53, 4,475.84 and 2,884.71 is: 4,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.53 : 4,475.84 = 2,884.71 : x
  2. Step 2: Convert to fraction form
    2,988.53/4,475.84 = 2,884.71/x
  3. Step 3: Cross multiply
    2,988.53x = 4,475.84 × 2,884.71
  4. Step 4: Simplify right side
    2,988.53x = 12,911,500.41
  5. Step 5: Solve for x
    x = 12,911,500.41/2,988.53
  6. Step 6: Final answer
    x = 4,320.35

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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.