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Finding the Fourth Proportional to 4,446.61, 6,133.56 and 3,564.52

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Solution

The fourth proportional to 4,446.61, 6,133.56 and 3,564.52 is: 4,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.61 : 6,133.56 = 3,564.52 : x
  2. Step 2: Convert to fraction form
    4,446.61/6,133.56 = 3,564.52/x
  3. Step 3: Cross multiply
    4,446.61x = 6,133.56 × 3,564.52
  4. Step 4: Simplify right side
    4,446.61x = 21,863,197.29
  5. Step 5: Solve for x
    x = 21,863,197.29/4,446.61
  6. Step 6: Final answer
    x = 4,916.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.