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Finding the Fourth Proportional to 5,255.70, 7,886.25 and 3,501.96

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Solution

The fourth proportional to 5,255.70, 7,886.25 and 3,501.96 is: 5,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.70 : 7,886.25 = 3,501.96 : x
  2. Step 2: Convert to fraction form
    5,255.70/7,886.25 = 3,501.96/x
  3. Step 3: Cross multiply
    5,255.70x = 7,886.25 × 3,501.96
  4. Step 4: Simplify right side
    5,255.70x = 27,617,332.05
  5. Step 5: Solve for x
    x = 27,617,332.05/5,255.70
  6. Step 6: Final answer
    x = 5,254.74

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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.