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Finding the Fourth Proportional to 5,641.36, 7,780.25 and 3,402.76

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Solution

The fourth proportional to 5,641.36, 7,780.25 and 3,402.76 is: 4,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.36 : 7,780.25 = 3,402.76 : x
  2. Step 2: Convert to fraction form
    5,641.36/7,780.25 = 3,402.76/x
  3. Step 3: Cross multiply
    5,641.36x = 7,780.25 × 3,402.76
  4. Step 4: Simplify right side
    5,641.36x = 26,474,327.13
  5. Step 5: Solve for x
    x = 26,474,327.13/5,641.36
  6. Step 6: Final answer
    x = 4,692.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.