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Finding the Fourth Proportional to 4,713.38, 7,066.40 and 2,114.50

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Solution

The fourth proportional to 4,713.38, 7,066.40 and 2,114.50 is: 3,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.38 : 7,066.40 = 2,114.50 : x
  2. Step 2: Convert to fraction form
    4,713.38/7,066.40 = 2,114.50/x
  3. Step 3: Cross multiply
    4,713.38x = 7,066.40 × 2,114.50
  4. Step 4: Simplify right side
    4,713.38x = 14,941,902.80
  5. Step 5: Solve for x
    x = 14,941,902.80/4,713.38
  6. Step 6: Final answer
    x = 3,170.10

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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.