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Finding the Fourth Proportional to 8,598.90, 12,894.33 and 3,052.13

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Solution

The fourth proportional to 8,598.90, 12,894.33 and 3,052.13 is: 4,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.90 : 12,894.33 = 3,052.13 : x
  2. Step 2: Convert to fraction form
    8,598.90/12,894.33 = 3,052.13/x
  3. Step 3: Cross multiply
    8,598.90x = 12,894.33 × 3,052.13
  4. Step 4: Simplify right side
    8,598.90x = 39,355,106.95
  5. Step 5: Solve for x
    x = 39,355,106.95/8,598.90
  6. Step 6: Final answer
    x = 4,576.76

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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.