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Finding the Fourth Proportional to 3,643.52, 5,457.06 and 2,552.76

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Solution

The fourth proportional to 3,643.52, 5,457.06 and 2,552.76 is: 3,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.52 : 5,457.06 = 2,552.76 : x
  2. Step 2: Convert to fraction form
    3,643.52/5,457.06 = 2,552.76/x
  3. Step 3: Cross multiply
    3,643.52x = 5,457.06 × 2,552.76
  4. Step 4: Simplify right side
    3,643.52x = 13,930,564.49
  5. Step 5: Solve for x
    x = 13,930,564.49/3,643.52
  6. Step 6: Final answer
    x = 3,823.39

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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.