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Finding the Fourth Proportional to 5,265.66, 7,897.88 and 1,567.58

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Solution

The fourth proportional to 5,265.66, 7,897.88 and 1,567.58 is: 2,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.66 : 7,897.88 = 1,567.58 : x
  2. Step 2: Convert to fraction form
    5,265.66/7,897.88 = 1,567.58/x
  3. Step 3: Cross multiply
    5,265.66x = 7,897.88 × 1,567.58
  4. Step 4: Simplify right side
    5,265.66x = 12,380,540.96
  5. Step 5: Solve for x
    x = 12,380,540.96/5,265.66
  6. Step 6: Final answer
    x = 2,351.19

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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.