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Finding the Fourth Proportional to 5,340.50, 8,011.77 and 1,642.07

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Solution

The fourth proportional to 5,340.50, 8,011.77 and 1,642.07 is: 2,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.50 : 8,011.77 = 1,642.07 : x
  2. Step 2: Convert to fraction form
    5,340.50/8,011.77 = 1,642.07/x
  3. Step 3: Cross multiply
    5,340.50x = 8,011.77 × 1,642.07
  4. Step 4: Simplify right side
    5,340.50x = 13,155,887.16
  5. Step 5: Solve for x
    x = 13,155,887.16/5,340.50
  6. Step 6: Final answer
    x = 2,463.42

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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.