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Finding the Fourth Proportional to 5,742.14, 7,913.71 and 4,482.54

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Solution

The fourth proportional to 5,742.14, 7,913.71 and 4,482.54 is: 6,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.14 : 7,913.71 = 4,482.54 : x
  2. Step 2: Convert to fraction form
    5,742.14/7,913.71 = 4,482.54/x
  3. Step 3: Cross multiply
    5,742.14x = 7,913.71 × 4,482.54
  4. Step 4: Simplify right side
    5,742.14x = 35,473,521.62
  5. Step 5: Solve for x
    x = 35,473,521.62/5,742.14
  6. Step 6: Final answer
    x = 6,177.75

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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.