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Finding the Fourth Proportional to 4,821.63, 7,232.70 and 1,534.98

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Solution

The fourth proportional to 4,821.63, 7,232.70 and 1,534.98 is: 2,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.63 : 7,232.70 = 1,534.98 : x
  2. Step 2: Convert to fraction form
    4,821.63/7,232.70 = 1,534.98/x
  3. Step 3: Cross multiply
    4,821.63x = 7,232.70 × 1,534.98
  4. Step 4: Simplify right side
    4,821.63x = 11,102,049.85
  5. Step 5: Solve for x
    x = 11,102,049.85/4,821.63
  6. Step 6: Final answer
    x = 2,302.55

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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.