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Finding the Fourth Proportional to 5,038.82, 7,549.17 and 4,742.33

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Solution

The fourth proportional to 5,038.82, 7,549.17 and 4,742.33 is: 7,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.82 : 7,549.17 = 4,742.33 : x
  2. Step 2: Convert to fraction form
    5,038.82/7,549.17 = 4,742.33/x
  3. Step 3: Cross multiply
    5,038.82x = 7,549.17 × 4,742.33
  4. Step 4: Simplify right side
    5,038.82x = 35,800,599.84
  5. Step 5: Solve for x
    x = 35,800,599.84/5,038.82
  6. Step 6: Final answer
    x = 7,104.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.