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Finding the Fourth Proportional to 3,482.32, 5,224.36 and 1,017.15

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Solution

The fourth proportional to 3,482.32, 5,224.36 and 1,017.15 is: 1,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.32 : 5,224.36 = 1,017.15 : x
  2. Step 2: Convert to fraction form
    3,482.32/5,224.36 = 1,017.15/x
  3. Step 3: Cross multiply
    3,482.32x = 5,224.36 × 1,017.15
  4. Step 4: Simplify right side
    3,482.32x = 5,313,952.69
  5. Step 5: Solve for x
    x = 5,313,952.69/3,482.32
  6. Step 6: Final answer
    x = 1,525.98

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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.