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Finding the Fourth Proportional to 5,254.60, 7,882.32 and 1,556.76

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Solution

The fourth proportional to 5,254.60, 7,882.32 and 1,556.76 is: 2,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.60 : 7,882.32 = 1,556.76 : x
  2. Step 2: Convert to fraction form
    5,254.60/7,882.32 = 1,556.76/x
  3. Step 3: Cross multiply
    5,254.60x = 7,882.32 × 1,556.76
  4. Step 4: Simplify right side
    5,254.60x = 12,270,880.48
  5. Step 5: Solve for x
    x = 12,270,880.48/5,254.60
  6. Step 6: Final answer
    x = 2,335.26

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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.