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Finding the Fourth Proportional to 4,542.06, 6,812.25 and 1,254.72

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Solution

The fourth proportional to 4,542.06, 6,812.25 and 1,254.72 is: 1,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.06 : 6,812.25 = 1,254.72 : x
  2. Step 2: Convert to fraction form
    4,542.06/6,812.25 = 1,254.72/x
  3. Step 3: Cross multiply
    4,542.06x = 6,812.25 × 1,254.72
  4. Step 4: Simplify right side
    4,542.06x = 8,547,466.32
  5. Step 5: Solve for x
    x = 8,547,466.32/4,542.06
  6. Step 6: Final answer
    x = 1,881.85

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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.