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Finding the Fourth Proportional to 3,712.24, 5,565 and 2,886

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Solution

The fourth proportional to 3,712.24, 5,565 and 2,886 is: 4,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.24 : 5,565 = 2,886 : x
  2. Step 2: Convert to fraction form
    3,712.24/5,565 = 2,886/x
  3. Step 3: Cross multiply
    3,712.24x = 5,565 × 2,886
  4. Step 4: Simplify right side
    3,712.24x = 16,060,590
  5. Step 5: Solve for x
    x = 16,060,590/3,712.24
  6. Step 6: Final answer
    x = 4,326.39

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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.