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Finding the Fourth Proportional to 4,253.52, 5,869.74 and 2,365.08

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Solution

The fourth proportional to 4,253.52, 5,869.74 and 2,365.08 is: 3,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.52 : 5,869.74 = 2,365.08 : x
  2. Step 2: Convert to fraction form
    4,253.52/5,869.74 = 2,365.08/x
  3. Step 3: Cross multiply
    4,253.52x = 5,869.74 × 2,365.08
  4. Step 4: Simplify right side
    4,253.52x = 13,882,404.68
  5. Step 5: Solve for x
    x = 13,882,404.68/4,253.52
  6. Step 6: Final answer
    x = 3,263.75

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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.