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Finding the Fourth Proportional to 5,752.10, 7,928.34 and 4,071.35

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Solution

The fourth proportional to 5,752.10, 7,928.34 and 4,071.35 is: 5,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.10 : 7,928.34 = 4,071.35 : x
  2. Step 2: Convert to fraction form
    5,752.10/7,928.34 = 4,071.35/x
  3. Step 3: Cross multiply
    5,752.10x = 7,928.34 × 4,071.35
  4. Step 4: Simplify right side
    5,752.10x = 32,279,021.88
  5. Step 5: Solve for x
    x = 32,279,021.88/5,752.10
  6. Step 6: Final answer
    x = 5,611.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.