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Finding the Fourth Proportional to 3,706.09, 5,108.47 and 2,510.71

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Solution

The fourth proportional to 3,706.09, 5,108.47 and 2,510.71 is: 3,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.09 : 5,108.47 = 2,510.71 : x
  2. Step 2: Convert to fraction form
    3,706.09/5,108.47 = 2,510.71/x
  3. Step 3: Cross multiply
    3,706.09x = 5,108.47 × 2,510.71
  4. Step 4: Simplify right side
    3,706.09x = 12,825,886.71
  5. Step 5: Solve for x
    x = 12,825,886.71/3,706.09
  6. Step 6: Final answer
    x = 3,460.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.