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Finding the Fourth Proportional to 3,340.12, 5,010.47 and 874.93

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Solution

The fourth proportional to 3,340.12, 5,010.47 and 874.93 is: 1,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.12 : 5,010.47 = 874.93 : x
  2. Step 2: Convert to fraction form
    3,340.12/5,010.47 = 874.93/x
  3. Step 3: Cross multiply
    3,340.12x = 5,010.47 × 874.93
  4. Step 4: Simplify right side
    3,340.12x = 4,383,800.18
  5. Step 5: Solve for x
    x = 4,383,800.18/3,340.12
  6. Step 6: Final answer
    x = 1,312.47

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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.