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Finding the Fourth Proportional to 4,204.61, 5,800.71 and 2,435.87

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Solution

The fourth proportional to 4,204.61, 5,800.71 and 2,435.87 is: 3,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.61 : 5,800.71 = 2,435.87 : x
  2. Step 2: Convert to fraction form
    4,204.61/5,800.71 = 2,435.87/x
  3. Step 3: Cross multiply
    4,204.61x = 5,800.71 × 2,435.87
  4. Step 4: Simplify right side
    4,204.61x = 14,129,799.10
  5. Step 5: Solve for x
    x = 14,129,799.10/4,204.61
  6. Step 6: Final answer
    x = 3,360.55

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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.