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Finding the Fourth Proportional to 4,762.12, 6,572.38 and 2,873.80

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Solution

The fourth proportional to 4,762.12, 6,572.38 and 2,873.80 is: 3,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.12 : 6,572.38 = 2,873.80 : x
  2. Step 2: Convert to fraction form
    4,762.12/6,572.38 = 2,873.80/x
  3. Step 3: Cross multiply
    4,762.12x = 6,572.38 × 2,873.80
  4. Step 4: Simplify right side
    4,762.12x = 18,887,705.64
  5. Step 5: Solve for x
    x = 18,887,705.64/4,762.12
  6. Step 6: Final answer
    x = 3,966.24

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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.