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Finding the Fourth Proportional to 3,904.65, 5,398.79 and 3,412.58

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Solution

The fourth proportional to 3,904.65, 5,398.79 and 3,412.58 is: 4,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.65 : 5,398.79 = 3,412.58 : x
  2. Step 2: Convert to fraction form
    3,904.65/5,398.79 = 3,412.58/x
  3. Step 3: Cross multiply
    3,904.65x = 5,398.79 × 3,412.58
  4. Step 4: Simplify right side
    3,904.65x = 18,423,758.72
  5. Step 5: Solve for x
    x = 18,423,758.72/3,904.65
  6. Step 6: Final answer
    x = 4,718.41

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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.