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Finding the Fourth Proportional to 4,124, 6,186.36 and 1,046

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Solution

The fourth proportional to 4,124, 6,186.36 and 1,046 is: 1,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124 : 6,186.36 = 1,046 : x
  2. Step 2: Convert to fraction form
    4,124/6,186.36 = 1,046/x
  3. Step 3: Cross multiply
    4,124x = 6,186.36 × 1,046
  4. Step 4: Simplify right side
    4,124x = 6,470,932.56
  5. Step 5: Solve for x
    x = 6,470,932.56/4,124
  6. Step 6: Final answer
    x = 1,569.09

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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.