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Finding the Fourth Proportional to 5,232.81, 7,849.11 and 1,534.96

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Solution

The fourth proportional to 5,232.81, 7,849.11 and 1,534.96 is: 2,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.81 : 7,849.11 = 1,534.96 : x
  2. Step 2: Convert to fraction form
    5,232.81/7,849.11 = 1,534.96/x
  3. Step 3: Cross multiply
    5,232.81x = 7,849.11 × 1,534.96
  4. Step 4: Simplify right side
    5,232.81x = 12,048,085.45
  5. Step 5: Solve for x
    x = 12,048,085.45/5,232.81
  6. Step 6: Final answer
    x = 2,302.41

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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.