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Finding the Fourth Proportional to 4,065.33, 6,097.28 and 1,142.94

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Solution

The fourth proportional to 4,065.33, 6,097.28 and 1,142.94 is: 1,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.33 : 6,097.28 = 1,142.94 : x
  2. Step 2: Convert to fraction form
    4,065.33/6,097.28 = 1,142.94/x
  3. Step 3: Cross multiply
    4,065.33x = 6,097.28 × 1,142.94
  4. Step 4: Simplify right side
    4,065.33x = 6,968,825.20
  5. Step 5: Solve for x
    x = 6,968,825.20/4,065.33
  6. Step 6: Final answer
    x = 1,714.21

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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.