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Finding the Fourth Proportional to 4,541.07, 6,812 and 1,254.17

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Solution

The fourth proportional to 4,541.07, 6,812 and 1,254.17 is: 1,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.07 : 6,812 = 1,254.17 : x
  2. Step 2: Convert to fraction form
    4,541.07/6,812 = 1,254.17/x
  3. Step 3: Cross multiply
    4,541.07x = 6,812 × 1,254.17
  4. Step 4: Simplify right side
    4,541.07x = 8,543,406.04
  5. Step 5: Solve for x
    x = 8,543,406.04/4,541.07
  6. Step 6: Final answer
    x = 1,881.36

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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.