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Finding the Fourth Proportional to 3,430.97, 4,734.74 and 1,859.06

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Solution

The fourth proportional to 3,430.97, 4,734.74 and 1,859.06 is: 2,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.97 : 4,734.74 = 1,859.06 : x
  2. Step 2: Convert to fraction form
    3,430.97/4,734.74 = 1,859.06/x
  3. Step 3: Cross multiply
    3,430.97x = 4,734.74 × 1,859.06
  4. Step 4: Simplify right side
    3,430.97x = 8,802,182.23
  5. Step 5: Solve for x
    x = 8,802,182.23/3,430.97
  6. Step 6: Final answer
    x = 2,565.51

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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.