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Finding the Fourth Proportional to 4,184, 6,276.36 and 1,106

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Solution

The fourth proportional to 4,184, 6,276.36 and 1,106 is: 1,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 6,276.36 = 1,106 : x
  2. Step 2: Convert to fraction form
    4,184/6,276.36 = 1,106/x
  3. Step 3: Cross multiply
    4,184x = 6,276.36 × 1,106
  4. Step 4: Simplify right side
    4,184x = 6,941,654.16
  5. Step 5: Solve for x
    x = 6,941,654.16/4,184
  6. Step 6: Final answer
    x = 1,659.10

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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.