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Finding the Fourth Proportional to 3,429.77, 5,114.54 and 3,398.59

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Solution

The fourth proportional to 3,429.77, 5,114.54 and 3,398.59 is: 5,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.77 : 5,114.54 = 3,398.59 : x
  2. Step 2: Convert to fraction form
    3,429.77/5,114.54 = 3,398.59/x
  3. Step 3: Cross multiply
    3,429.77x = 5,114.54 × 3,398.59
  4. Step 4: Simplify right side
    3,429.77x = 17,382,224.50
  5. Step 5: Solve for x
    x = 17,382,224.50/3,429.77
  6. Step 6: Final answer
    x = 5,068.04

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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.