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Finding the Fourth Proportional to 3,482.10, 5,223.29 and 1,142.42

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Solution

The fourth proportional to 3,482.10, 5,223.29 and 1,142.42 is: 1,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.10 : 5,223.29 = 1,142.42 : x
  2. Step 2: Convert to fraction form
    3,482.10/5,223.29 = 1,142.42/x
  3. Step 3: Cross multiply
    3,482.10x = 5,223.29 × 1,142.42
  4. Step 4: Simplify right side
    3,482.10x = 5,967,159.13
  5. Step 5: Solve for x
    x = 5,967,159.13/3,482.10
  6. Step 6: Final answer
    x = 1,713.67

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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.