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Finding the Fourth Proportional to 6,342.36, 9,510.10 and 2,590.84

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Solution

The fourth proportional to 6,342.36, 9,510.10 and 2,590.84 is: 3,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.36 : 9,510.10 = 2,590.84 : x
  2. Step 2: Convert to fraction form
    6,342.36/9,510.10 = 2,590.84/x
  3. Step 3: Cross multiply
    6,342.36x = 9,510.10 × 2,590.84
  4. Step 4: Simplify right side
    6,342.36x = 24,639,147.48
  5. Step 5: Solve for x
    x = 24,639,147.48/6,342.36
  6. Step 6: Final answer
    x = 3,884.85

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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.