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Finding the Fourth Proportional to 5,138.01, 7,089.83 and 2,899.74

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Solution

The fourth proportional to 5,138.01, 7,089.83 and 2,899.74 is: 4,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.01 : 7,089.83 = 2,899.74 : x
  2. Step 2: Convert to fraction form
    5,138.01/7,089.83 = 2,899.74/x
  3. Step 3: Cross multiply
    5,138.01x = 7,089.83 × 2,899.74
  4. Step 4: Simplify right side
    5,138.01x = 20,558,686.61
  5. Step 5: Solve for x
    x = 20,558,686.61/5,138.01
  6. Step 6: Final answer
    x = 4,001.29

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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.