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Finding the Fourth Proportional to 5,038.43, 6,952.19 and 2,914.16

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Solution

The fourth proportional to 5,038.43, 6,952.19 and 2,914.16 is: 4,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.43 : 6,952.19 = 2,914.16 : x
  2. Step 2: Convert to fraction form
    5,038.43/6,952.19 = 2,914.16/x
  3. Step 3: Cross multiply
    5,038.43x = 6,952.19 × 2,914.16
  4. Step 4: Simplify right side
    5,038.43x = 20,259,794.01
  5. Step 5: Solve for x
    x = 20,259,794.01/5,038.43
  6. Step 6: Final answer
    x = 4,021.05

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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.