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Finding the Fourth Proportional to 4,782.17, 6,599.21 and 2,657.83

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Solution

The fourth proportional to 4,782.17, 6,599.21 and 2,657.83 is: 3,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.17 : 6,599.21 = 2,657.83 : x
  2. Step 2: Convert to fraction form
    4,782.17/6,599.21 = 2,657.83/x
  3. Step 3: Cross multiply
    4,782.17x = 6,599.21 × 2,657.83
  4. Step 4: Simplify right side
    4,782.17x = 17,539,545.32
  5. Step 5: Solve for x
    x = 17,539,545.32/4,782.17
  6. Step 6: Final answer
    x = 3,667.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.