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Finding the Fourth Proportional to 4,498.29, 6,734.48 and 4,153.77

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Solution

The fourth proportional to 4,498.29, 6,734.48 and 4,153.77 is: 6,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.29 : 6,734.48 = 4,153.77 : x
  2. Step 2: Convert to fraction form
    4,498.29/6,734.48 = 4,153.77/x
  3. Step 3: Cross multiply
    4,498.29x = 6,734.48 × 4,153.77
  4. Step 4: Simplify right side
    4,498.29x = 27,973,460.22
  5. Step 5: Solve for x
    x = 27,973,460.22/4,498.29
  6. Step 6: Final answer
    x = 6,218.69

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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.