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Finding the Fourth Proportional to 8,588.42, 12,883.08 and 2,744.58

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Solution

The fourth proportional to 8,588.42, 12,883.08 and 2,744.58 is: 4,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.42 : 12,883.08 = 2,744.58 : x
  2. Step 2: Convert to fraction form
    8,588.42/12,883.08 = 2,744.58/x
  3. Step 3: Cross multiply
    8,588.42x = 12,883.08 × 2,744.58
  4. Step 4: Simplify right side
    8,588.42x = 35,358,643.71
  5. Step 5: Solve for x
    x = 35,358,643.71/8,588.42
  6. Step 6: Final answer
    x = 4,117.01

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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.