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Finding the Fourth Proportional to 5,226.60, 7,841.10 and 1,528.74

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Solution

The fourth proportional to 5,226.60, 7,841.10 and 1,528.74 is: 2,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.60 : 7,841.10 = 1,528.74 : x
  2. Step 2: Convert to fraction form
    5,226.60/7,841.10 = 1,528.74/x
  3. Step 3: Cross multiply
    5,226.60x = 7,841.10 × 1,528.74
  4. Step 4: Simplify right side
    5,226.60x = 11,987,003.21
  5. Step 5: Solve for x
    x = 11,987,003.21/5,226.60
  6. Step 6: Final answer
    x = 2,293.46

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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.