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Finding the Fourth Proportional to 3,430.93, 4,734.69 and 1,859.02

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Solution

The fourth proportional to 3,430.93, 4,734.69 and 1,859.02 is: 2,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.93 : 4,734.69 = 1,859.02 : x
  2. Step 2: Convert to fraction form
    3,430.93/4,734.69 = 1,859.02/x
  3. Step 3: Cross multiply
    3,430.93x = 4,734.69 × 1,859.02
  4. Step 4: Simplify right side
    3,430.93x = 8,801,892.41
  5. Step 5: Solve for x
    x = 8,801,892.41/3,430.93
  6. Step 6: Final answer
    x = 2,565.46

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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.