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Finding the Fourth Proportional to 3,248.53, 4,872.76 and 783.33

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Solution

The fourth proportional to 3,248.53, 4,872.76 and 783.33 is: 1,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.53 : 4,872.76 = 783.33 : x
  2. Step 2: Convert to fraction form
    3,248.53/4,872.76 = 783.33/x
  3. Step 3: Cross multiply
    3,248.53x = 4,872.76 × 783.33
  4. Step 4: Simplify right side
    3,248.53x = 3,816,994.43
  5. Step 5: Solve for x
    x = 3,816,994.43/3,248.53
  6. Step 6: Final answer
    x = 1,174.99

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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.