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Finding the Fourth Proportional to 5,770.18, 8,656.55 and 2,690.50

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Solution

The fourth proportional to 5,770.18, 8,656.55 and 2,690.50 is: 4,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.18 : 8,656.55 = 2,690.50 : x
  2. Step 2: Convert to fraction form
    5,770.18/8,656.55 = 2,690.50/x
  3. Step 3: Cross multiply
    5,770.18x = 8,656.55 × 2,690.50
  4. Step 4: Simplify right side
    5,770.18x = 23,290,447.78
  5. Step 5: Solve for x
    x = 23,290,447.78/5,770.18
  6. Step 6: Final answer
    x = 4,036.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.