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Finding the Fourth Proportional to 3,363.77, 4,638.83 and 2,565.70

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Solution

The fourth proportional to 3,363.77, 4,638.83 and 2,565.70 is: 3,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.77 : 4,638.83 = 2,565.70 : x
  2. Step 2: Convert to fraction form
    3,363.77/4,638.83 = 2,565.70/x
  3. Step 3: Cross multiply
    3,363.77x = 4,638.83 × 2,565.70
  4. Step 4: Simplify right side
    3,363.77x = 11,901,821.71
  5. Step 5: Solve for x
    x = 11,901,821.71/3,363.77
  6. Step 6: Final answer
    x = 3,538.24

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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.