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Finding the Fourth Proportional to 3,233.48, 4,852.04 and 2,538.50

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Solution

The fourth proportional to 3,233.48, 4,852.04 and 2,538.50 is: 3,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.48 : 4,852.04 = 2,538.50 : x
  2. Step 2: Convert to fraction form
    3,233.48/4,852.04 = 2,538.50/x
  3. Step 3: Cross multiply
    3,233.48x = 4,852.04 × 2,538.50
  4. Step 4: Simplify right side
    3,233.48x = 12,316,866.59
  5. Step 5: Solve for x
    x = 12,316,866.59/3,233.48
  6. Step 6: Final answer
    x = 3,809.17

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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.