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Finding the Fourth Proportional to 3,430.70, 4,734.33 and 1,858.78

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Solution

The fourth proportional to 3,430.70, 4,734.33 and 1,858.78 is: 2,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.70 : 4,734.33 = 1,858.78 : x
  2. Step 2: Convert to fraction form
    3,430.70/4,734.33 = 1,858.78/x
  3. Step 3: Cross multiply
    3,430.70x = 4,734.33 × 1,858.78
  4. Step 4: Simplify right side
    3,430.70x = 8,800,077.92
  5. Step 5: Solve for x
    x = 8,800,077.92/3,430.70
  6. Step 6: Final answer
    x = 2,565.10

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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.