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Finding the Fourth Proportional to 5,407.90, 8,114.55 and 3,069.70

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Solution

The fourth proportional to 5,407.90, 8,114.55 and 3,069.70 is: 4,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.90 : 8,114.55 = 3,069.70 : x
  2. Step 2: Convert to fraction form
    5,407.90/8,114.55 = 3,069.70/x
  3. Step 3: Cross multiply
    5,407.90x = 8,114.55 × 3,069.70
  4. Step 4: Simplify right side
    5,407.90x = 24,909,234.14
  5. Step 5: Solve for x
    x = 24,909,234.14/5,407.90
  6. Step 6: Final answer
    x = 4,606.08

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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.