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Finding the Fourth Proportional to 5,111.90, 7,663.80 and 2,803.40

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Solution

The fourth proportional to 5,111.90, 7,663.80 and 2,803.40 is: 4,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.90 : 7,663.80 = 2,803.40 : x
  2. Step 2: Convert to fraction form
    5,111.90/7,663.80 = 2,803.40/x
  3. Step 3: Cross multiply
    5,111.90x = 7,663.80 × 2,803.40
  4. Step 4: Simplify right side
    5,111.90x = 21,484,696.92
  5. Step 5: Solve for x
    x = 21,484,696.92/5,111.90
  6. Step 6: Final answer
    x = 4,202.88

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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.