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Finding the Fourth Proportional to 4,542.90, 6,267.58 and 2,971.90

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Solution

The fourth proportional to 4,542.90, 6,267.58 and 2,971.90 is: 4,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.90 : 6,267.58 = 2,971.90 : x
  2. Step 2: Convert to fraction form
    4,542.90/6,267.58 = 2,971.90/x
  3. Step 3: Cross multiply
    4,542.90x = 6,267.58 × 2,971.90
  4. Step 4: Simplify right side
    4,542.90x = 18,626,621.00
  5. Step 5: Solve for x
    x = 18,626,621.00/4,542.90
  6. Step 6: Final answer
    x = 4,100.16

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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.