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Finding the Fourth Proportional to 4,020.12, 6,030.17 and 1,098.50

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Solution

The fourth proportional to 4,020.12, 6,030.17 and 1,098.50 is: 1,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.12 : 6,030.17 = 1,098.50 : x
  2. Step 2: Convert to fraction form
    4,020.12/6,030.17 = 1,098.50/x
  3. Step 3: Cross multiply
    4,020.12x = 6,030.17 × 1,098.50
  4. Step 4: Simplify right side
    4,020.12x = 6,624,141.75
  5. Step 5: Solve for x
    x = 6,624,141.75/4,020.12
  6. Step 6: Final answer
    x = 1,647.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.