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Finding the Fourth Proportional to 3,438.80, 5,152.70 and 3,347.68

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Solution

The fourth proportional to 3,438.80, 5,152.70 and 3,347.68 is: 5,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.80 : 5,152.70 = 3,347.68 : x
  2. Step 2: Convert to fraction form
    3,438.80/5,152.70 = 3,347.68/x
  3. Step 3: Cross multiply
    3,438.80x = 5,152.70 × 3,347.68
  4. Step 4: Simplify right side
    3,438.80x = 17,249,590.74
  5. Step 5: Solve for x
    x = 17,249,590.74/3,438.80
  6. Step 6: Final answer
    x = 5,016.17

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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.