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Finding the Fourth Proportional to 3,948.32, 5,923.84 and 1,758.56

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Solution

The fourth proportional to 3,948.32, 5,923.84 and 1,758.56 is: 2,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.32 : 5,923.84 = 1,758.56 : x
  2. Step 2: Convert to fraction form
    3,948.32/5,923.84 = 1,758.56/x
  3. Step 3: Cross multiply
    3,948.32x = 5,923.84 × 1,758.56
  4. Step 4: Simplify right side
    3,948.32x = 10,417,428.07
  5. Step 5: Solve for x
    x = 10,417,428.07/3,948.32
  6. Step 6: Final answer
    x = 2,638.45

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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.