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Finding the Fourth Proportional to 4,842.30, 6,684.18 and 2,852.94

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Solution

The fourth proportional to 4,842.30, 6,684.18 and 2,852.94 is: 3,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.30 : 6,684.18 = 2,852.94 : x
  2. Step 2: Convert to fraction form
    4,842.30/6,684.18 = 2,852.94/x
  3. Step 3: Cross multiply
    4,842.30x = 6,684.18 × 2,852.94
  4. Step 4: Simplify right side
    4,842.30x = 19,069,564.49
  5. Step 5: Solve for x
    x = 19,069,564.49/4,842.30
  6. Step 6: Final answer
    x = 3,938.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.