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Finding the Fourth Proportional to 3,566.48, 4,920.72 and 2,053.76

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Solution

The fourth proportional to 3,566.48, 4,920.72 and 2,053.76 is: 2,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.48 : 4,920.72 = 2,053.76 : x
  2. Step 2: Convert to fraction form
    3,566.48/4,920.72 = 2,053.76/x
  3. Step 3: Cross multiply
    3,566.48x = 4,920.72 × 2,053.76
  4. Step 4: Simplify right side
    3,566.48x = 10,105,977.91
  5. Step 5: Solve for x
    x = 10,105,977.91/3,566.48
  6. Step 6: Final answer
    x = 2,833.60

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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.