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Finding the Fourth Proportional to 4,894.66, 7,338.51 and 2,296.18

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Solution

The fourth proportional to 4,894.66, 7,338.51 and 2,296.18 is: 3,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.66 : 7,338.51 = 2,296.18 : x
  2. Step 2: Convert to fraction form
    4,894.66/7,338.51 = 2,296.18/x
  3. Step 3: Cross multiply
    4,894.66x = 7,338.51 × 2,296.18
  4. Step 4: Simplify right side
    4,894.66x = 16,850,539.89
  5. Step 5: Solve for x
    x = 16,850,539.89/4,894.66
  6. Step 6: Final answer
    x = 3,442.64

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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.