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Finding the Fourth Proportional to 4,821.74, 7,232.54 and 1,534.79

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Solution

The fourth proportional to 4,821.74, 7,232.54 and 1,534.79 is: 2,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.74 : 7,232.54 = 1,534.79 : x
  2. Step 2: Convert to fraction form
    4,821.74/7,232.54 = 1,534.79/x
  3. Step 3: Cross multiply
    4,821.74x = 7,232.54 × 1,534.79
  4. Step 4: Simplify right side
    4,821.74x = 11,100,404.31
  5. Step 5: Solve for x
    x = 11,100,404.31/4,821.74
  6. Step 6: Final answer
    x = 2,302.16

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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.