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Finding the Fourth Proportional to 4,753.90, 7,130.85 and 1,981.07

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Solution

The fourth proportional to 4,753.90, 7,130.85 and 1,981.07 is: 2,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.90 : 7,130.85 = 1,981.07 : x
  2. Step 2: Convert to fraction form
    4,753.90/7,130.85 = 1,981.07/x
  3. Step 3: Cross multiply
    4,753.90x = 7,130.85 × 1,981.07
  4. Step 4: Simplify right side
    4,753.90x = 14,126,713.01
  5. Step 5: Solve for x
    x = 14,126,713.01/4,753.90
  6. Step 6: Final answer
    x = 2,971.61

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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.