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Finding the Fourth Proportional to 4,146, 6,219.36 and 1,068

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Solution

The fourth proportional to 4,146, 6,219.36 and 1,068 is: 1,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 6,219.36 = 1,068 : x
  2. Step 2: Convert to fraction form
    4,146/6,219.36 = 1,068/x
  3. Step 3: Cross multiply
    4,146x = 6,219.36 × 1,068
  4. Step 4: Simplify right side
    4,146x = 6,642,276.48
  5. Step 5: Solve for x
    x = 6,642,276.48/4,146
  6. Step 6: Final answer
    x = 1,602.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.