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Finding the Fourth Proportional to 3,262.32, 4,857.78 and 3,215.76

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Solution

The fourth proportional to 3,262.32, 4,857.78 and 3,215.76 is: 4,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.32 : 4,857.78 = 3,215.76 : x
  2. Step 2: Convert to fraction form
    3,262.32/4,857.78 = 3,215.76/x
  3. Step 3: Cross multiply
    3,262.32x = 4,857.78 × 3,215.76
  4. Step 4: Simplify right side
    3,262.32x = 15,621,454.61
  5. Step 5: Solve for x
    x = 15,621,454.61/3,262.32
  6. Step 6: Final answer
    x = 4,788.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.