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Finding the Fourth Proportional to 6,590.90, 9,877.71 and 2,690.84

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Solution

The fourth proportional to 6,590.90, 9,877.71 and 2,690.84 is: 4,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.90 : 9,877.71 = 2,690.84 : x
  2. Step 2: Convert to fraction form
    6,590.90/9,877.71 = 2,690.84/x
  3. Step 3: Cross multiply
    6,590.90x = 9,877.71 × 2,690.84
  4. Step 4: Simplify right side
    6,590.90x = 26,579,337.18
  5. Step 5: Solve for x
    x = 26,579,337.18/6,590.90
  6. Step 6: Final answer
    x = 4,032.73

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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.