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Finding the Fourth Proportional to 3,126.84, 4,685.63 and 1,275.72

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Solution

The fourth proportional to 3,126.84, 4,685.63 and 1,275.72 is: 1,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.84 : 4,685.63 = 1,275.72 : x
  2. Step 2: Convert to fraction form
    3,126.84/4,685.63 = 1,275.72/x
  3. Step 3: Cross multiply
    3,126.84x = 4,685.63 × 1,275.72
  4. Step 4: Simplify right side
    3,126.84x = 5,977,545.53
  5. Step 5: Solve for x
    x = 5,977,545.53/3,126.84
  6. Step 6: Final answer
    x = 1,911.69

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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.