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Finding the Fourth Proportional to 4,010, 6,016.08 and 1,701.68

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Solution

The fourth proportional to 4,010, 6,016.08 and 1,701.68 is: 2,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010 : 6,016.08 = 1,701.68 : x
  2. Step 2: Convert to fraction form
    4,010/6,016.08 = 1,701.68/x
  3. Step 3: Cross multiply
    4,010x = 6,016.08 × 1,701.68
  4. Step 4: Simplify right side
    4,010x = 10,237,443.01
  5. Step 5: Solve for x
    x = 10,237,443.01/4,010
  6. Step 6: Final answer
    x = 2,552.98

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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.