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Finding the Fourth Proportional to 4,013.92, 6,021.80 and 1,417.08

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Solution

The fourth proportional to 4,013.92, 6,021.80 and 1,417.08 is: 2,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.92 : 6,021.80 = 1,417.08 : x
  2. Step 2: Convert to fraction form
    4,013.92/6,021.80 = 1,417.08/x
  3. Step 3: Cross multiply
    4,013.92x = 6,021.80 × 1,417.08
  4. Step 4: Simplify right side
    4,013.92x = 8,533,372.34
  5. Step 5: Solve for x
    x = 8,533,372.34/4,013.92
  6. Step 6: Final answer
    x = 2,125.94

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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.