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Finding the Fourth Proportional to 4,976.96, 7,468.50 and 2,897.89

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Solution

The fourth proportional to 4,976.96, 7,468.50 and 2,897.89 is: 4,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.96 : 7,468.50 = 2,897.89 : x
  2. Step 2: Convert to fraction form
    4,976.96/7,468.50 = 2,897.89/x
  3. Step 3: Cross multiply
    4,976.96x = 7,468.50 × 2,897.89
  4. Step 4: Simplify right side
    4,976.96x = 21,642,854.12
  5. Step 5: Solve for x
    x = 21,642,854.12/4,976.96
  6. Step 6: Final answer
    x = 4,348.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.