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Finding the Fourth Proportional to 4,762.38, 6,572.31 and 2,746.10

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Solution

The fourth proportional to 4,762.38, 6,572.31 and 2,746.10 is: 3,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.38 : 6,572.31 = 2,746.10 : x
  2. Step 2: Convert to fraction form
    4,762.38/6,572.31 = 2,746.10/x
  3. Step 3: Cross multiply
    4,762.38x = 6,572.31 × 2,746.10
  4. Step 4: Simplify right side
    4,762.38x = 18,048,187.63
  5. Step 5: Solve for x
    x = 18,048,187.63/4,762.38
  6. Step 6: Final answer
    x = 3,789.75

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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.