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Finding the Fourth Proportional to 4,920.14, 6,784.58 and 3,659.16

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Solution

The fourth proportional to 4,920.14, 6,784.58 and 3,659.16 is: 5,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.14 : 6,784.58 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    4,920.14/6,784.58 = 3,659.16/x
  3. Step 3: Cross multiply
    4,920.14x = 6,784.58 × 3,659.16
  4. Step 4: Simplify right side
    4,920.14x = 24,825,845.46
  5. Step 5: Solve for x
    x = 24,825,845.46/4,920.14
  6. Step 6: Final answer
    x = 5,045.77

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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.