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Finding the Fourth Proportional to 4,752.10, 6,557.11 and 2,762.20

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Solution

The fourth proportional to 4,752.10, 6,557.11 and 2,762.20 is: 3,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.10 : 6,557.11 = 2,762.20 : x
  2. Step 2: Convert to fraction form
    4,752.10/6,557.11 = 2,762.20/x
  3. Step 3: Cross multiply
    4,752.10x = 6,557.11 × 2,762.20
  4. Step 4: Simplify right side
    4,752.10x = 18,112,049.24
  5. Step 5: Solve for x
    x = 18,112,049.24/4,752.10
  6. Step 6: Final answer
    x = 3,811.38

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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.