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Finding the Fourth Proportional to 6,404.17, 9,599.68 and 2,454.51

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Solution

The fourth proportional to 6,404.17, 9,599.68 and 2,454.51 is: 3,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.17 : 9,599.68 = 2,454.51 : x
  2. Step 2: Convert to fraction form
    6,404.17/9,599.68 = 2,454.51/x
  3. Step 3: Cross multiply
    6,404.17x = 9,599.68 × 2,454.51
  4. Step 4: Simplify right side
    6,404.17x = 23,562,498.28
  5. Step 5: Solve for x
    x = 23,562,498.28/6,404.17
  6. Step 6: Final answer
    x = 3,679.24

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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.