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Finding the Fourth Proportional to 3,925.26, 5,884.26 and 1,702.68

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Solution

The fourth proportional to 3,925.26, 5,884.26 and 1,702.68 is: 2,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.26 : 5,884.26 = 1,702.68 : x
  2. Step 2: Convert to fraction form
    3,925.26/5,884.26 = 1,702.68/x
  3. Step 3: Cross multiply
    3,925.26x = 5,884.26 × 1,702.68
  4. Step 4: Simplify right side
    3,925.26x = 10,019,011.82
  5. Step 5: Solve for x
    x = 10,019,011.82/3,925.26
  6. Step 6: Final answer
    x = 2,552.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.