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Finding the Fourth Proportional to 3,430.94, 4,734.71 and 1,859.04

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Solution

The fourth proportional to 3,430.94, 4,734.71 and 1,859.04 is: 2,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.94 : 4,734.71 = 1,859.04 : x
  2. Step 2: Convert to fraction form
    3,430.94/4,734.71 = 1,859.04/x
  3. Step 3: Cross multiply
    3,430.94x = 4,734.71 × 1,859.04
  4. Step 4: Simplify right side
    3,430.94x = 8,802,005.98
  5. Step 5: Solve for x
    x = 8,802,005.98/3,430.94
  6. Step 6: Final answer
    x = 2,565.48

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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.