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Finding the Fourth Proportional to 5,482.15, 8,224.02 and 1,732.66

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Solution

The fourth proportional to 5,482.15, 8,224.02 and 1,732.66 is: 2,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.15 : 8,224.02 = 1,732.66 : x
  2. Step 2: Convert to fraction form
    5,482.15/8,224.02 = 1,732.66/x
  3. Step 3: Cross multiply
    5,482.15x = 8,224.02 × 1,732.66
  4. Step 4: Simplify right side
    5,482.15x = 14,249,430.49
  5. Step 5: Solve for x
    x = 14,249,430.49/5,482.15
  6. Step 6: Final answer
    x = 2,599.24

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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.