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Finding the Fourth Proportional to 3,588.71, 5,386.31 and 1,510.25

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Solution

The fourth proportional to 3,588.71, 5,386.31 and 1,510.25 is: 2,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 5,386.31 = 1,510.25 : x
  2. Step 2: Convert to fraction form
    3,588.71/5,386.31 = 1,510.25/x
  3. Step 3: Cross multiply
    3,588.71x = 5,386.31 × 1,510.25
  4. Step 4: Simplify right side
    3,588.71x = 8,134,640.19
  5. Step 5: Solve for x
    x = 8,134,640.19/3,588.71
  6. Step 6: Final answer
    x = 2,266.73

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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.