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Finding the Fourth Proportional to 3,354.86, 4,629.65 and 1,862.75

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Solution

The fourth proportional to 3,354.86, 4,629.65 and 1,862.75 is: 2,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.86 : 4,629.65 = 1,862.75 : x
  2. Step 2: Convert to fraction form
    3,354.86/4,629.65 = 1,862.75/x
  3. Step 3: Cross multiply
    3,354.86x = 4,629.65 × 1,862.75
  4. Step 4: Simplify right side
    3,354.86x = 8,623,848.08
  5. Step 5: Solve for x
    x = 8,623,848.08/3,354.86
  6. Step 6: Final answer
    x = 2,570.55

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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.