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Finding the Fourth Proportional to 5,692.19, 7,854.45 and 3,454.16

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Solution

The fourth proportional to 5,692.19, 7,854.45 and 3,454.16 is: 4,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.19 : 7,854.45 = 3,454.16 : x
  2. Step 2: Convert to fraction form
    5,692.19/7,854.45 = 3,454.16/x
  3. Step 3: Cross multiply
    5,692.19x = 7,854.45 × 3,454.16
  4. Step 4: Simplify right side
    5,692.19x = 27,130,487.74
  5. Step 5: Solve for x
    x = 27,130,487.74/5,692.19
  6. Step 6: Final answer
    x = 4,766.27

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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.