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Finding the Fourth Proportional to 3,465.66, 4,780.84 and 2,346.21

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Solution

The fourth proportional to 3,465.66, 4,780.84 and 2,346.21 is: 3,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.66 : 4,780.84 = 2,346.21 : x
  2. Step 2: Convert to fraction form
    3,465.66/4,780.84 = 2,346.21/x
  3. Step 3: Cross multiply
    3,465.66x = 4,780.84 × 2,346.21
  4. Step 4: Simplify right side
    3,465.66x = 11,216,853.15
  5. Step 5: Solve for x
    x = 11,216,853.15/3,465.66
  6. Step 6: Final answer
    x = 3,236.57

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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.