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Finding the Fourth Proportional to 6,559.08, 9,838.50 and 2,860.20

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Solution

The fourth proportional to 6,559.08, 9,838.50 and 2,860.20 is: 4,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.08 : 9,838.50 = 2,860.20 : x
  2. Step 2: Convert to fraction form
    6,559.08/9,838.50 = 2,860.20/x
  3. Step 3: Cross multiply
    6,559.08x = 9,838.50 × 2,860.20
  4. Step 4: Simplify right side
    6,559.08x = 28,140,077.70
  5. Step 5: Solve for x
    x = 28,140,077.70/6,559.08
  6. Step 6: Final answer
    x = 4,290.25

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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.