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Finding the Fourth Proportional to 4,952.32, 6,834.06 and 2,962.42

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Solution

The fourth proportional to 4,952.32, 6,834.06 and 2,962.42 is: 4,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.32 : 6,834.06 = 2,962.42 : x
  2. Step 2: Convert to fraction form
    4,952.32/6,834.06 = 2,962.42/x
  3. Step 3: Cross multiply
    4,952.32x = 6,834.06 × 2,962.42
  4. Step 4: Simplify right side
    4,952.32x = 20,245,356.03
  5. Step 5: Solve for x
    x = 20,245,356.03/4,952.32
  6. Step 6: Final answer
    x = 4,088.05

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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.