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Finding the Fourth Proportional to 5,307, 7,319.18 and 4,469.66

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Solution

The fourth proportional to 5,307, 7,319.18 and 4,469.66 is: 6,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 7,319.18 = 4,469.66 : x
  2. Step 2: Convert to fraction form
    5,307/7,319.18 = 4,469.66/x
  3. Step 3: Cross multiply
    5,307x = 7,319.18 × 4,469.66
  4. Step 4: Simplify right side
    5,307x = 32,714,246.08
  5. Step 5: Solve for x
    x = 32,714,246.08/5,307
  6. Step 6: Final answer
    x = 6,164.36

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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.