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Finding the Fourth Proportional to 3,475.94, 5,214.68 and 1,010.95

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Solution

The fourth proportional to 3,475.94, 5,214.68 and 1,010.95 is: 1,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.94 : 5,214.68 = 1,010.95 : x
  2. Step 2: Convert to fraction form
    3,475.94/5,214.68 = 1,010.95/x
  3. Step 3: Cross multiply
    3,475.94x = 5,214.68 × 1,010.95
  4. Step 4: Simplify right side
    3,475.94x = 5,271,762.65
  5. Step 5: Solve for x
    x = 5,271,762.65/3,475.94
  6. Step 6: Final answer
    x = 1,516.65

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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.