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Finding the Fourth Proportional to 4,727.66, 7,085.88 and 1,952.96

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Solution

The fourth proportional to 4,727.66, 7,085.88 and 1,952.96 is: 2,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.66 : 7,085.88 = 1,952.96 : x
  2. Step 2: Convert to fraction form
    4,727.66/7,085.88 = 1,952.96/x
  3. Step 3: Cross multiply
    4,727.66x = 7,085.88 × 1,952.96
  4. Step 4: Simplify right side
    4,727.66x = 13,838,440.20
  5. Step 5: Solve for x
    x = 13,838,440.20/4,727.66
  6. Step 6: Final answer
    x = 2,927.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.