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Finding the Fourth Proportional to 5,310.08, 7,326.72 and 3,214.16

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Solution

The fourth proportional to 5,310.08, 7,326.72 and 3,214.16 is: 4,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.08 : 7,326.72 = 3,214.16 : x
  2. Step 2: Convert to fraction form
    5,310.08/7,326.72 = 3,214.16/x
  3. Step 3: Cross multiply
    5,310.08x = 7,326.72 × 3,214.16
  4. Step 4: Simplify right side
    5,310.08x = 23,549,250.36
  5. Step 5: Solve for x
    x = 23,549,250.36/5,310.08
  6. Step 6: Final answer
    x = 4,434.82

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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.