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Finding the Fourth Proportional to 5,622.68, 8,434.02 and 2,159.12

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Solution

The fourth proportional to 5,622.68, 8,434.02 and 2,159.12 is: 3,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.68 : 8,434.02 = 2,159.12 : x
  2. Step 2: Convert to fraction form
    5,622.68/8,434.02 = 2,159.12/x
  3. Step 3: Cross multiply
    5,622.68x = 8,434.02 × 2,159.12
  4. Step 4: Simplify right side
    5,622.68x = 18,210,061.26
  5. Step 5: Solve for x
    x = 18,210,061.26/5,622.68
  6. Step 6: Final answer
    x = 3,238.68

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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.