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Finding the Fourth Proportional to 5,705.76, 7,871.74 and 3,347.04

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Solution

The fourth proportional to 5,705.76, 7,871.74 and 3,347.04 is: 4,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.76 : 7,871.74 = 3,347.04 : x
  2. Step 2: Convert to fraction form
    5,705.76/7,871.74 = 3,347.04/x
  3. Step 3: Cross multiply
    5,705.76x = 7,871.74 × 3,347.04
  4. Step 4: Simplify right side
    5,705.76x = 26,347,028.65
  5. Step 5: Solve for x
    x = 26,347,028.65/5,705.76
  6. Step 6: Final answer
    x = 4,617.62

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Why These Related Problems?

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