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Finding the Fourth Proportional to 5,886.91, 8,127.03 and 3,902.14

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Solution

The fourth proportional to 5,886.91, 8,127.03 and 3,902.14 is: 5,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.91 : 8,127.03 = 3,902.14 : x
  2. Step 2: Convert to fraction form
    5,886.91/8,127.03 = 3,902.14/x
  3. Step 3: Cross multiply
    5,886.91x = 8,127.03 × 3,902.14
  4. Step 4: Simplify right side
    5,886.91x = 31,712,808.84
  5. Step 5: Solve for x
    x = 31,712,808.84/5,886.91
  6. Step 6: Final answer
    x = 5,387.00

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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.