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Finding the Fourth Proportional to 3,510.09, 5,266.98 and 1,431.63

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Solution

The fourth proportional to 3,510.09, 5,266.98 and 1,431.63 is: 2,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.09 : 5,266.98 = 1,431.63 : x
  2. Step 2: Convert to fraction form
    3,510.09/5,266.98 = 1,431.63/x
  3. Step 3: Cross multiply
    3,510.09x = 5,266.98 × 1,431.63
  4. Step 4: Simplify right side
    3,510.09x = 7,540,366.58
  5. Step 5: Solve for x
    x = 7,540,366.58/3,510.09
  6. Step 6: Final answer
    x = 2,148.20

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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.