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Finding the Fourth Proportional to 4,114.64, 6,171.28 and 1,192.24

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Solution

The fourth proportional to 4,114.64, 6,171.28 and 1,192.24 is: 1,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.64 : 6,171.28 = 1,192.24 : x
  2. Step 2: Convert to fraction form
    4,114.64/6,171.28 = 1,192.24/x
  3. Step 3: Cross multiply
    4,114.64x = 6,171.28 × 1,192.24
  4. Step 4: Simplify right side
    4,114.64x = 7,357,646.87
  5. Step 5: Solve for x
    x = 7,357,646.87/4,114.64
  6. Step 6: Final answer
    x = 1,788.16

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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.