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Finding the Fourth Proportional to 3,459.70, 4,776.06 and 2,135.35

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Solution

The fourth proportional to 3,459.70, 4,776.06 and 2,135.35 is: 2,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.70 : 4,776.06 = 2,135.35 : x
  2. Step 2: Convert to fraction form
    3,459.70/4,776.06 = 2,135.35/x
  3. Step 3: Cross multiply
    3,459.70x = 4,776.06 × 2,135.35
  4. Step 4: Simplify right side
    3,459.70x = 10,198,559.72
  5. Step 5: Solve for x
    x = 10,198,559.72/3,459.70
  6. Step 6: Final answer
    x = 2,947.82

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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.