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Finding the Fourth Proportional to 4,275.74, 5,902.97 and 3,259.47

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Solution

The fourth proportional to 4,275.74, 5,902.97 and 3,259.47 is: 4,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.74 : 5,902.97 = 3,259.47 : x
  2. Step 2: Convert to fraction form
    4,275.74/5,902.97 = 3,259.47/x
  3. Step 3: Cross multiply
    4,275.74x = 5,902.97 × 3,259.47
  4. Step 4: Simplify right side
    4,275.74x = 19,240,524.11
  5. Step 5: Solve for x
    x = 19,240,524.11/4,275.74
  6. Step 6: Final answer
    x = 4,499.93

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