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Finding the Fourth Proportional to 5,048.16, 6,966.72 and 2,952.48

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Solution

The fourth proportional to 5,048.16, 6,966.72 and 2,952.48 is: 4,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.16 : 6,966.72 = 2,952.48 : x
  2. Step 2: Convert to fraction form
    5,048.16/6,966.72 = 2,952.48/x
  3. Step 3: Cross multiply
    5,048.16x = 6,966.72 × 2,952.48
  4. Step 4: Simplify right side
    5,048.16x = 20,569,101.47
  5. Step 5: Solve for x
    x = 20,569,101.47/5,048.16
  6. Step 6: Final answer
    x = 4,074.57

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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.