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Finding the Fourth Proportional to 6,590.02, 9,883.92 and 2,840.77

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Solution

The fourth proportional to 6,590.02, 9,883.92 and 2,840.77 is: 4,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.02 : 9,883.92 = 2,840.77 : x
  2. Step 2: Convert to fraction form
    6,590.02/9,883.92 = 2,840.77/x
  3. Step 3: Cross multiply
    6,590.02x = 9,883.92 × 2,840.77
  4. Step 4: Simplify right side
    6,590.02x = 28,077,948.53
  5. Step 5: Solve for x
    x = 28,077,948.53/6,590.02
  6. Step 6: Final answer
    x = 4,260.68

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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.