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Finding the Fourth Proportional to 5,340.51, 8,011.68 and 1,642.66

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Solution

The fourth proportional to 5,340.51, 8,011.68 and 1,642.66 is: 2,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.51 : 8,011.68 = 1,642.66 : x
  2. Step 2: Convert to fraction form
    5,340.51/8,011.68 = 1,642.66/x
  3. Step 3: Cross multiply
    5,340.51x = 8,011.68 × 1,642.66
  4. Step 4: Simplify right side
    5,340.51x = 13,160,440.08
  5. Step 5: Solve for x
    x = 13,160,440.08/5,340.51
  6. Step 6: Final answer
    x = 2,464.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.