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Finding the Fourth Proportional to 4,930, 7,391.35 and 2,981.77

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Solution

The fourth proportional to 4,930, 7,391.35 and 2,981.77 is: 4,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 7,391.35 = 2,981.77 : x
  2. Step 2: Convert to fraction form
    4,930/7,391.35 = 2,981.77/x
  3. Step 3: Cross multiply
    4,930x = 7,391.35 × 2,981.77
  4. Step 4: Simplify right side
    4,930x = 22,039,305.69
  5. Step 5: Solve for x
    x = 22,039,305.69/4,930
  6. Step 6: Final answer
    x = 4,470.45

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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.