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Finding the Fourth Proportional to 5,751.04, 7,932 and 4,865.44

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Solution

The fourth proportional to 5,751.04, 7,932 and 4,865.44 is: 6,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.04 : 7,932 = 4,865.44 : x
  2. Step 2: Convert to fraction form
    5,751.04/7,932 = 4,865.44/x
  3. Step 3: Cross multiply
    5,751.04x = 7,932 × 4,865.44
  4. Step 4: Simplify right side
    5,751.04x = 38,592,670.08
  5. Step 5: Solve for x
    x = 38,592,670.08/5,751.04
  6. Step 6: Final answer
    x = 6,710.55

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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.