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Finding the Fourth Proportional to 3,444.69, 5,160.56 and 3,406.35

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Solution

The fourth proportional to 3,444.69, 5,160.56 and 3,406.35 is: 5,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.69 : 5,160.56 = 3,406.35 : x
  2. Step 2: Convert to fraction form
    3,444.69/5,160.56 = 3,406.35/x
  3. Step 3: Cross multiply
    3,444.69x = 5,160.56 × 3,406.35
  4. Step 4: Simplify right side
    3,444.69x = 17,578,656.52
  5. Step 5: Solve for x
    x = 17,578,656.52/3,444.69
  6. Step 6: Final answer
    x = 5,103.12

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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.