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Finding the Fourth Proportional to 5,228.88, 7,841.40 and 1,530.16

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Solution

The fourth proportional to 5,228.88, 7,841.40 and 1,530.16 is: 2,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.88 : 7,841.40 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    5,228.88/7,841.40 = 1,530.16/x
  3. Step 3: Cross multiply
    5,228.88x = 7,841.40 × 1,530.16
  4. Step 4: Simplify right side
    5,228.88x = 11,998,596.62
  5. Step 5: Solve for x
    x = 11,998,596.62/5,228.88
  6. Step 6: Final answer
    x = 2,294.68

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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.