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Finding the Fourth Proportional to 4,009.34, 6,014.42 and 3,488.92

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Solution

The fourth proportional to 4,009.34, 6,014.42 and 3,488.92 is: 5,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.34 : 6,014.42 = 3,488.92 : x
  2. Step 2: Convert to fraction form
    4,009.34/6,014.42 = 3,488.92/x
  3. Step 3: Cross multiply
    4,009.34x = 6,014.42 × 3,488.92
  4. Step 4: Simplify right side
    4,009.34x = 20,983,830.23
  5. Step 5: Solve for x
    x = 20,983,830.23/4,009.34
  6. Step 6: Final answer
    x = 5,233.74

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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.