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Finding the Fourth Proportional to 4,977.42, 7,463.79 and 3,417.66

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Solution

The fourth proportional to 4,977.42, 7,463.79 and 3,417.66 is: 5,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.42 : 7,463.79 = 3,417.66 : x
  2. Step 2: Convert to fraction form
    4,977.42/7,463.79 = 3,417.66/x
  3. Step 3: Cross multiply
    4,977.42x = 7,463.79 × 3,417.66
  4. Step 4: Simplify right side
    4,977.42x = 25,508,696.53
  5. Step 5: Solve for x
    x = 25,508,696.53/4,977.42
  6. Step 6: Final answer
    x = 5,124.89

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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.