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Finding the Fourth Proportional to 8,590.98, 12,885.84 and 2,746.02

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Solution

The fourth proportional to 8,590.98, 12,885.84 and 2,746.02 is: 4,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.98 : 12,885.84 = 2,746.02 : x
  2. Step 2: Convert to fraction form
    8,590.98/12,885.84 = 2,746.02/x
  3. Step 3: Cross multiply
    8,590.98x = 12,885.84 × 2,746.02
  4. Step 4: Simplify right side
    8,590.98x = 35,384,774.36
  5. Step 5: Solve for x
    x = 35,384,774.36/8,590.98
  6. Step 6: Final answer
    x = 4,118.83

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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.