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Finding the Fourth Proportional to 4,252.68, 5,852.59 and 3,503.70

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Solution

The fourth proportional to 4,252.68, 5,852.59 and 3,503.70 is: 4,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.68 : 5,852.59 = 3,503.70 : x
  2. Step 2: Convert to fraction form
    4,252.68/5,852.59 = 3,503.70/x
  3. Step 3: Cross multiply
    4,252.68x = 5,852.59 × 3,503.70
  4. Step 4: Simplify right side
    4,252.68x = 20,505,710.82
  5. Step 5: Solve for x
    x = 20,505,710.82/4,252.68
  6. Step 6: Final answer
    x = 4,821.83

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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.