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Finding the Fourth Proportional to 4,660.40, 6,988.36 and 2,713.20

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Solution

The fourth proportional to 4,660.40, 6,988.36 and 2,713.20 is: 4,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.40 : 6,988.36 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    4,660.40/6,988.36 = 2,713.20/x
  3. Step 3: Cross multiply
    4,660.40x = 6,988.36 × 2,713.20
  4. Step 4: Simplify right side
    4,660.40x = 18,960,818.35
  5. Step 5: Solve for x
    x = 18,960,818.35/4,660.40
  6. Step 6: Final answer
    x = 4,068.50

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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.