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Finding the Fourth Proportional to 4,267.46, 6,402.06 and 1,802.27

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Solution

The fourth proportional to 4,267.46, 6,402.06 and 1,802.27 is: 2,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.46 : 6,402.06 = 1,802.27 : x
  2. Step 2: Convert to fraction form
    4,267.46/6,402.06 = 1,802.27/x
  3. Step 3: Cross multiply
    4,267.46x = 6,402.06 × 1,802.27
  4. Step 4: Simplify right side
    4,267.46x = 11,538,256.68
  5. Step 5: Solve for x
    x = 11,538,256.68/4,267.46
  6. Step 6: Final answer
    x = 2,703.77

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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.