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Finding the Fourth Proportional to 4,209.95, 6,301.59 and 2,355.46

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Solution

The fourth proportional to 4,209.95, 6,301.59 and 2,355.46 is: 3,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.95 : 6,301.59 = 2,355.46 : x
  2. Step 2: Convert to fraction form
    4,209.95/6,301.59 = 2,355.46/x
  3. Step 3: Cross multiply
    4,209.95x = 6,301.59 × 2,355.46
  4. Step 4: Simplify right side
    4,209.95x = 14,843,143.18
  5. Step 5: Solve for x
    x = 14,843,143.18/4,209.95
  6. Step 6: Final answer
    x = 3,525.73

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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.