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Finding the Fourth Proportional to 5,732.63, 7,903.63 and 3,712.46

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Solution

The fourth proportional to 5,732.63, 7,903.63 and 3,712.46 is: 5,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.63 : 7,903.63 = 3,712.46 : x
  2. Step 2: Convert to fraction form
    5,732.63/7,903.63 = 3,712.46/x
  3. Step 3: Cross multiply
    5,732.63x = 7,903.63 × 3,712.46
  4. Step 4: Simplify right side
    5,732.63x = 29,341,910.23
  5. Step 5: Solve for x
    x = 29,341,910.23/5,732.63
  6. Step 6: Final answer
    x = 5,118.40

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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.