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Finding the Fourth Proportional to 4,535.81, 6,801.97 and 1,762.12

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Solution

The fourth proportional to 4,535.81, 6,801.97 and 1,762.12 is: 2,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.81 : 6,801.97 = 1,762.12 : x
  2. Step 2: Convert to fraction form
    4,535.81/6,801.97 = 1,762.12/x
  3. Step 3: Cross multiply
    4,535.81x = 6,801.97 × 1,762.12
  4. Step 4: Simplify right side
    4,535.81x = 11,985,874.47
  5. Step 5: Solve for x
    x = 11,985,874.47/4,535.81
  6. Step 6: Final answer
    x = 2,642.50

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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.