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Finding the Fourth Proportional to 3,510.84, 5,261.68 and 1,428.39

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Solution

The fourth proportional to 3,510.84, 5,261.68 and 1,428.39 is: 2,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.84 : 5,261.68 = 1,428.39 : x
  2. Step 2: Convert to fraction form
    3,510.84/5,261.68 = 1,428.39/x
  3. Step 3: Cross multiply
    3,510.84x = 5,261.68 × 1,428.39
  4. Step 4: Simplify right side
    3,510.84x = 7,515,731.10
  5. Step 5: Solve for x
    x = 7,515,731.10/3,510.84
  6. Step 6: Final answer
    x = 2,140.72

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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.