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Finding the Fourth Proportional to 5,987.63, 8,967.74 and 2,869.81

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Solution

The fourth proportional to 5,987.63, 8,967.74 and 2,869.81 is: 4,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.63 : 8,967.74 = 2,869.81 : x
  2. Step 2: Convert to fraction form
    5,987.63/8,967.74 = 2,869.81/x
  3. Step 3: Cross multiply
    5,987.63x = 8,967.74 × 2,869.81
  4. Step 4: Simplify right side
    5,987.63x = 25,735,673.16
  5. Step 5: Solve for x
    x = 25,735,673.16/5,987.63
  6. Step 6: Final answer
    x = 4,298.14

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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.