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Finding the Fourth Proportional to 4,204.64, 5,801.10 and 2,435.80

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Solution

The fourth proportional to 4,204.64, 5,801.10 and 2,435.80 is: 3,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.64 : 5,801.10 = 2,435.80 : x
  2. Step 2: Convert to fraction form
    4,204.64/5,801.10 = 2,435.80/x
  3. Step 3: Cross multiply
    4,204.64x = 5,801.10 × 2,435.80
  4. Step 4: Simplify right side
    4,204.64x = 14,130,319.38
  5. Step 5: Solve for x
    x = 14,130,319.38/4,204.64
  6. Step 6: Final answer
    x = 3,360.65

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Why These Related Problems?

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