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Finding the Fourth Proportional to 4,899.48, 7,341.54 and 4,166.04

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Solution

The fourth proportional to 4,899.48, 7,341.54 and 4,166.04 is: 6,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.48 : 7,341.54 = 4,166.04 : x
  2. Step 2: Convert to fraction form
    4,899.48/7,341.54 = 4,166.04/x
  3. Step 3: Cross multiply
    4,899.48x = 7,341.54 × 4,166.04
  4. Step 4: Simplify right side
    4,899.48x = 30,585,149.30
  5. Step 5: Solve for x
    x = 30,585,149.30/4,899.48
  6. Step 6: Final answer
    x = 6,242.53

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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.