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Finding the Fourth Proportional to 5,269.16, 7,909.14 and 3,549.80

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Solution

The fourth proportional to 5,269.16, 7,909.14 and 3,549.80 is: 5,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.16 : 7,909.14 = 3,549.80 : x
  2. Step 2: Convert to fraction form
    5,269.16/7,909.14 = 3,549.80/x
  3. Step 3: Cross multiply
    5,269.16x = 7,909.14 × 3,549.80
  4. Step 4: Simplify right side
    5,269.16x = 28,075,865.17
  5. Step 5: Solve for x
    x = 28,075,865.17/5,269.16
  6. Step 6: Final answer
    x = 5,328.34

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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.