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Finding the Fourth Proportional to 5,876.71, 8,812.64 and 2,498.07

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Solution

The fourth proportional to 5,876.71, 8,812.64 and 2,498.07 is: 3,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.71 : 8,812.64 = 2,498.07 : x
  2. Step 2: Convert to fraction form
    5,876.71/8,812.64 = 2,498.07/x
  3. Step 3: Cross multiply
    5,876.71x = 8,812.64 × 2,498.07
  4. Step 4: Simplify right side
    5,876.71x = 22,014,535.05
  5. Step 5: Solve for x
    x = 22,014,535.05/5,876.71
  6. Step 6: Final answer
    x = 3,746.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.