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Finding the Fourth Proportional to 4,219.57, 6,329.34 and 1,141.57

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Solution

The fourth proportional to 4,219.57, 6,329.34 and 1,141.57 is: 1,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.57 : 6,329.34 = 1,141.57 : x
  2. Step 2: Convert to fraction form
    4,219.57/6,329.34 = 1,141.57/x
  3. Step 3: Cross multiply
    4,219.57x = 6,329.34 × 1,141.57
  4. Step 4: Simplify right side
    4,219.57x = 7,225,384.66
  5. Step 5: Solve for x
    x = 7,225,384.66/4,219.57
  6. Step 6: Final answer
    x = 1,712.35

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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.