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Finding the Fourth Proportional to 5,706.14, 7,873.89 and 3,347.42

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Solution

The fourth proportional to 5,706.14, 7,873.89 and 3,347.42 is: 4,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.14 : 7,873.89 = 3,347.42 : x
  2. Step 2: Convert to fraction form
    5,706.14/7,873.89 = 3,347.42/x
  3. Step 3: Cross multiply
    5,706.14x = 7,873.89 × 3,347.42
  4. Step 4: Simplify right side
    5,706.14x = 26,357,216.86
  5. Step 5: Solve for x
    x = 26,357,216.86/5,706.14
  6. Step 6: Final answer
    x = 4,619.10

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1.5x scale

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.