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Finding the Fourth Proportional to 5,885.84, 8,123.16 and 3,649.20

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Solution

The fourth proportional to 5,885.84, 8,123.16 and 3,649.20 is: 5,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.84 : 8,123.16 = 3,649.20 : x
  2. Step 2: Convert to fraction form
    5,885.84/8,123.16 = 3,649.20/x
  3. Step 3: Cross multiply
    5,885.84x = 8,123.16 × 3,649.20
  4. Step 4: Simplify right side
    5,885.84x = 29,643,035.47
  5. Step 5: Solve for x
    x = 29,643,035.47/5,885.84
  6. Step 6: Final answer
    x = 5,036.33

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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.