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Finding the Fourth Proportional to 4,176.02, 6,264.74 and 1,402.96

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Solution

The fourth proportional to 4,176.02, 6,264.74 and 1,402.96 is: 2,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.02 : 6,264.74 = 1,402.96 : x
  2. Step 2: Convert to fraction form
    4,176.02/6,264.74 = 1,402.96/x
  3. Step 3: Cross multiply
    4,176.02x = 6,264.74 × 1,402.96
  4. Step 4: Simplify right side
    4,176.02x = 8,789,179.63
  5. Step 5: Solve for x
    x = 8,789,179.63/4,176.02
  6. Step 6: Final answer
    x = 2,104.68

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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.