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Finding the Fourth Proportional to 4,219.04, 6,328.48 and 1,141.04

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Solution

The fourth proportional to 4,219.04, 6,328.48 and 1,141.04 is: 1,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.04 : 6,328.48 = 1,141.04 : x
  2. Step 2: Convert to fraction form
    4,219.04/6,328.48 = 1,141.04/x
  3. Step 3: Cross multiply
    4,219.04x = 6,328.48 × 1,141.04
  4. Step 4: Simplify right side
    4,219.04x = 7,221,048.82
  5. Step 5: Solve for x
    x = 7,221,048.82/4,219.04
  6. Step 6: Final answer
    x = 1,711.54

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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.