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Finding the Fourth Proportional to 4,954.65, 6,830.31 and 3,535.92

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Solution

The fourth proportional to 4,954.65, 6,830.31 and 3,535.92 is: 4,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.65 : 6,830.31 = 3,535.92 : x
  2. Step 2: Convert to fraction form
    4,954.65/6,830.31 = 3,535.92/x
  3. Step 3: Cross multiply
    4,954.65x = 6,830.31 × 3,535.92
  4. Step 4: Simplify right side
    4,954.65x = 24,151,429.74
  5. Step 5: Solve for x
    x = 24,151,429.74/4,954.65
  6. Step 6: Final answer
    x = 4,874.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.