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Finding the Fourth Proportional to 6,590.38, 9,886.92 and 2,695.10

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Solution

The fourth proportional to 6,590.38, 9,886.92 and 2,695.10 is: 4,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.38 : 9,886.92 = 2,695.10 : x
  2. Step 2: Convert to fraction form
    6,590.38/9,886.92 = 2,695.10/x
  3. Step 3: Cross multiply
    6,590.38x = 9,886.92 × 2,695.10
  4. Step 4: Simplify right side
    6,590.38x = 26,646,238.09
  5. Step 5: Solve for x
    x = 26,646,238.09/6,590.38
  6. Step 6: Final answer
    x = 4,043.20

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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.