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Finding the Fourth Proportional to 6,510.69, 8,989.20 and 4,156.02

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Solution

The fourth proportional to 6,510.69, 8,989.20 and 4,156.02 is: 5,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.69 : 8,989.20 = 4,156.02 : x
  2. Step 2: Convert to fraction form
    6,510.69/8,989.20 = 4,156.02/x
  3. Step 3: Cross multiply
    6,510.69x = 8,989.20 × 4,156.02
  4. Step 4: Simplify right side
    6,510.69x = 37,359,294.98
  5. Step 5: Solve for x
    x = 37,359,294.98/6,510.69
  6. Step 6: Final answer
    x = 5,738.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.