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Finding the Fourth Proportional to 6,590.57, 9,889.49 and 2,697.71

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Solution

The fourth proportional to 6,590.57, 9,889.49 and 2,697.71 is: 4,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.57 : 9,889.49 = 2,697.71 : x
  2. Step 2: Convert to fraction form
    6,590.57/9,889.49 = 2,697.71/x
  3. Step 3: Cross multiply
    6,590.57x = 9,889.49 × 2,697.71
  4. Step 4: Simplify right side
    6,590.57x = 26,678,913.13
  5. Step 5: Solve for x
    x = 26,678,913.13/6,590.57
  6. Step 6: Final answer
    x = 4,048.05

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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.