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Finding the Fourth Proportional to 3,904.64, 5,388.64 and 2,136.24

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Solution

The fourth proportional to 3,904.64, 5,388.64 and 2,136.24 is: 2,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.64 : 5,388.64 = 2,136.24 : x
  2. Step 2: Convert to fraction form
    3,904.64/5,388.64 = 2,136.24/x
  3. Step 3: Cross multiply
    3,904.64x = 5,388.64 × 2,136.24
  4. Step 4: Simplify right side
    3,904.64x = 11,511,428.31
  5. Step 5: Solve for x
    x = 11,511,428.31/3,904.64
  6. Step 6: Final answer
    x = 2,948.14

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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.