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Finding the Fourth Proportional to 3,473.69, 5,212.35 and 1,527.26

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Solution

The fourth proportional to 3,473.69, 5,212.35 and 1,527.26 is: 2,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.69 : 5,212.35 = 1,527.26 : x
  2. Step 2: Convert to fraction form
    3,473.69/5,212.35 = 1,527.26/x
  3. Step 3: Cross multiply
    3,473.69x = 5,212.35 × 1,527.26
  4. Step 4: Simplify right side
    3,473.69x = 7,960,587.60
  5. Step 5: Solve for x
    x = 7,960,587.60/3,473.69
  6. Step 6: Final answer
    x = 2,291.68

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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.