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Finding the Fourth Proportional to 5,137.47, 7,089.71 and 2,899.83

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Solution

The fourth proportional to 5,137.47, 7,089.71 and 2,899.83 is: 4,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.47 : 7,089.71 = 2,899.83 : x
  2. Step 2: Convert to fraction form
    5,137.47/7,089.71 = 2,899.83/x
  3. Step 3: Cross multiply
    5,137.47x = 7,089.71 × 2,899.83
  4. Step 4: Simplify right side
    5,137.47x = 20,558,953.75
  5. Step 5: Solve for x
    x = 20,558,953.75/5,137.47
  6. Step 6: Final answer
    x = 4,001.77

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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.