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Finding the Fourth Proportional to 5,114.40, 7,670.64 and 3,060

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Solution

The fourth proportional to 5,114.40, 7,670.64 and 3,060 is: 4,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.40 : 7,670.64 = 3,060 : x
  2. Step 2: Convert to fraction form
    5,114.40/7,670.64 = 3,060/x
  3. Step 3: Cross multiply
    5,114.40x = 7,670.64 × 3,060
  4. Step 4: Simplify right side
    5,114.40x = 23,472,158.40
  5. Step 5: Solve for x
    x = 23,472,158.40/5,114.40
  6. Step 6: Final answer
    x = 4,589.43

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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.