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Finding the Fourth Proportional to 4,998.64, 7,488.24 and 3,262

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Solution

The fourth proportional to 4,998.64, 7,488.24 and 3,262 is: 4,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.64 : 7,488.24 = 3,262 : x
  2. Step 2: Convert to fraction form
    4,998.64/7,488.24 = 3,262/x
  3. Step 3: Cross multiply
    4,998.64x = 7,488.24 × 3,262
  4. Step 4: Simplify right side
    4,998.64x = 24,426,638.88
  5. Step 5: Solve for x
    x = 24,426,638.88/4,998.64
  6. Step 6: Final answer
    x = 4,886.66

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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.