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Finding the Fourth Proportional to 4,843.64, 7,248.99 and 4,064.51

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Solution

The fourth proportional to 4,843.64, 7,248.99 and 4,064.51 is: 6,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.64 : 7,248.99 = 4,064.51 : x
  2. Step 2: Convert to fraction form
    4,843.64/7,248.99 = 4,064.51/x
  3. Step 3: Cross multiply
    4,843.64x = 7,248.99 × 4,064.51
  4. Step 4: Simplify right side
    4,843.64x = 29,463,592.34
  5. Step 5: Solve for x
    x = 29,463,592.34/4,843.64
  6. Step 6: Final answer
    x = 6,082.94

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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.