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Finding the Fourth Proportional to 5,154.64, 7,109.88 and 3,290.80

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Solution

The fourth proportional to 5,154.64, 7,109.88 and 3,290.80 is: 4,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.64 : 7,109.88 = 3,290.80 : x
  2. Step 2: Convert to fraction form
    5,154.64/7,109.88 = 3,290.80/x
  3. Step 3: Cross multiply
    5,154.64x = 7,109.88 × 3,290.80
  4. Step 4: Simplify right side
    5,154.64x = 23,397,193.10
  5. Step 5: Solve for x
    x = 23,397,193.10/5,154.64
  6. Step 6: Final answer
    x = 4,539.05

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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.