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Finding the Fourth Proportional to 5,094.06, 7,641.10 and 1,807.24

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Solution

The fourth proportional to 5,094.06, 7,641.10 and 1,807.24 is: 2,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.06 : 7,641.10 = 1,807.24 : x
  2. Step 2: Convert to fraction form
    5,094.06/7,641.10 = 1,807.24/x
  3. Step 3: Cross multiply
    5,094.06x = 7,641.10 × 1,807.24
  4. Step 4: Simplify right side
    5,094.06x = 13,809,301.56
  5. Step 5: Solve for x
    x = 13,809,301.56/5,094.06
  6. Step 6: Final answer
    x = 2,710.86

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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.