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Finding the Fourth Proportional to 4,894.65, 7,343.01 and 2,296.17

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Solution

The fourth proportional to 4,894.65, 7,343.01 and 2,296.17 is: 3,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.65 : 7,343.01 = 2,296.17 : x
  2. Step 2: Convert to fraction form
    4,894.65/7,343.01 = 2,296.17/x
  3. Step 3: Cross multiply
    4,894.65x = 7,343.01 × 2,296.17
  4. Step 4: Simplify right side
    4,894.65x = 16,860,799.27
  5. Step 5: Solve for x
    x = 16,860,799.27/4,894.65
  6. Step 6: Final answer
    x = 3,444.74

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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.