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Finding the Fourth Proportional to 4,342.66, 6,510.94 and 2,149.99

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Solution

The fourth proportional to 4,342.66, 6,510.94 and 2,149.99 is: 3,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.66 : 6,510.94 = 2,149.99 : x
  2. Step 2: Convert to fraction form
    4,342.66/6,510.94 = 2,149.99/x
  3. Step 3: Cross multiply
    4,342.66x = 6,510.94 × 2,149.99
  4. Step 4: Simplify right side
    4,342.66x = 13,998,455.89
  5. Step 5: Solve for x
    x = 13,998,455.89/4,342.66
  6. Step 6: Final answer
    x = 3,223.47

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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.