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Finding the Fourth Proportional to 3,430.86, 4,734.57 and 1,858.95

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Solution

The fourth proportional to 3,430.86, 4,734.57 and 1,858.95 is: 2,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.86 : 4,734.57 = 1,858.95 : x
  2. Step 2: Convert to fraction form
    3,430.86/4,734.57 = 1,858.95/x
  3. Step 3: Cross multiply
    3,430.86x = 4,734.57 × 1,858.95
  4. Step 4: Simplify right side
    3,430.86x = 8,801,328.90
  5. Step 5: Solve for x
    x = 8,801,328.90/3,430.86
  6. Step 6: Final answer
    x = 2,565.34

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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.