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Finding the Fourth Proportional to 4,065.84, 6,098.36 and 1,144.08

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Solution

The fourth proportional to 4,065.84, 6,098.36 and 1,144.08 is: 1,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.84 : 6,098.36 = 1,144.08 : x
  2. Step 2: Convert to fraction form
    4,065.84/6,098.36 = 1,144.08/x
  3. Step 3: Cross multiply
    4,065.84x = 6,098.36 × 1,144.08
  4. Step 4: Simplify right side
    4,065.84x = 6,977,011.71
  5. Step 5: Solve for x
    x = 6,977,011.71/4,065.84
  6. Step 6: Final answer
    x = 1,716.01

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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.