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Finding the Fourth Proportional to 5,347.62, 7,377.48 and 4,166.64

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Solution

The fourth proportional to 5,347.62, 7,377.48 and 4,166.64 is: 5,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.62 : 7,377.48 = 4,166.64 : x
  2. Step 2: Convert to fraction form
    5,347.62/7,377.48 = 4,166.64/x
  3. Step 3: Cross multiply
    5,347.62x = 7,377.48 × 4,166.64
  4. Step 4: Simplify right side
    5,347.62x = 30,739,303.27
  5. Step 5: Solve for x
    x = 30,739,303.27/5,347.62
  6. Step 6: Final answer
    x = 5,748.22

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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.