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Finding the Fourth Proportional to 3,430.84, 4,734.56 and 1,858.92

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Solution

The fourth proportional to 3,430.84, 4,734.56 and 1,858.92 is: 2,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.84 : 4,734.56 = 1,858.92 : x
  2. Step 2: Convert to fraction form
    3,430.84/4,734.56 = 1,858.92/x
  3. Step 3: Cross multiply
    3,430.84x = 4,734.56 × 1,858.92
  4. Step 4: Simplify right side
    3,430.84x = 8,801,168.28
  5. Step 5: Solve for x
    x = 8,801,168.28/3,430.84
  6. Step 6: Final answer
    x = 2,565.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.