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Finding the Fourth Proportional to 4,474.95, 6,714.86 and 2,166.45

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Solution

The fourth proportional to 4,474.95, 6,714.86 and 2,166.45 is: 3,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.95 : 6,714.86 = 2,166.45 : x
  2. Step 2: Convert to fraction form
    4,474.95/6,714.86 = 2,166.45/x
  3. Step 3: Cross multiply
    4,474.95x = 6,714.86 × 2,166.45
  4. Step 4: Simplify right side
    4,474.95x = 14,547,408.45
  5. Step 5: Solve for x
    x = 14,547,408.45/4,474.95
  6. Step 6: Final answer
    x = 3,250.85

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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.