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Finding the Fourth Proportional to 5,137.86, 7,089.53 and 2,869.22

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Solution

The fourth proportional to 5,137.86, 7,089.53 and 2,869.22 is: 3,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.86 : 7,089.53 = 2,869.22 : x
  2. Step 2: Convert to fraction form
    5,137.86/7,089.53 = 2,869.22/x
  3. Step 3: Cross multiply
    5,137.86x = 7,089.53 × 2,869.22
  4. Step 4: Simplify right side
    5,137.86x = 20,341,424.64
  5. Step 5: Solve for x
    x = 20,341,424.64/5,137.86
  6. Step 6: Final answer
    x = 3,959.13

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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.