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Finding the Fourth Proportional to 6,585.45, 9,881.10 and 3,464.70

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Solution

The fourth proportional to 6,585.45, 9,881.10 and 3,464.70 is: 5,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.45 : 9,881.10 = 3,464.70 : x
  2. Step 2: Convert to fraction form
    6,585.45/9,881.10 = 3,464.70/x
  3. Step 3: Cross multiply
    6,585.45x = 9,881.10 × 3,464.70
  4. Step 4: Simplify right side
    6,585.45x = 34,235,047.17
  5. Step 5: Solve for x
    x = 34,235,047.17/6,585.45
  6. Step 6: Final answer
    x = 5,198.59

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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.