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Finding the Fourth Proportional to 4,065.35, 6,098.40 and 1,143.63

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Solution

The fourth proportional to 4,065.35, 6,098.40 and 1,143.63 is: 1,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.35 : 6,098.40 = 1,143.63 : x
  2. Step 2: Convert to fraction form
    4,065.35/6,098.40 = 1,143.63/x
  3. Step 3: Cross multiply
    4,065.35x = 6,098.40 × 1,143.63
  4. Step 4: Simplify right side
    4,065.35x = 6,974,313.19
  5. Step 5: Solve for x
    x = 6,974,313.19/4,065.35
  6. Step 6: Final answer
    x = 1,715.55

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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.