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Finding the Fourth Proportional to 5,470.95, 8,206.43 and 4,952.55

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Solution

The fourth proportional to 5,470.95, 8,206.43 and 4,952.55 is: 7,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.95 : 8,206.43 = 4,952.55 : x
  2. Step 2: Convert to fraction form
    5,470.95/8,206.43 = 4,952.55/x
  3. Step 3: Cross multiply
    5,470.95x = 8,206.43 × 4,952.55
  4. Step 4: Simplify right side
    5,470.95x = 40,642,730.13
  5. Step 5: Solve for x
    x = 40,642,730.13/5,470.95
  6. Step 6: Final answer
    x = 7,428.83

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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.