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Finding the Fourth Proportional to 5,347.14, 7,379.28 and 3,356.16

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Solution

The fourth proportional to 5,347.14, 7,379.28 and 3,356.16 is: 4,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.14 : 7,379.28 = 3,356.16 : x
  2. Step 2: Convert to fraction form
    5,347.14/7,379.28 = 3,356.16/x
  3. Step 3: Cross multiply
    5,347.14x = 7,379.28 × 3,356.16
  4. Step 4: Simplify right side
    5,347.14x = 24,766,044.36
  5. Step 5: Solve for x
    x = 24,766,044.36/5,347.14
  6. Step 6: Final answer
    x = 4,631.64

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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.