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Finding the Fourth Proportional to 5,077.89, 7,009.61 and 3,089.14

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Solution

The fourth proportional to 5,077.89, 7,009.61 and 3,089.14 is: 4,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.89 : 7,009.61 = 3,089.14 : x
  2. Step 2: Convert to fraction form
    5,077.89/7,009.61 = 3,089.14/x
  3. Step 3: Cross multiply
    5,077.89x = 7,009.61 × 3,089.14
  4. Step 4: Simplify right side
    5,077.89x = 21,653,633.67
  5. Step 5: Solve for x
    x = 21,653,633.67/5,077.89
  6. Step 6: Final answer
    x = 4,264.30

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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.