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Finding the Fourth Proportional to 4,558.77, 6,838.16 and 1,439.10

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Solution

The fourth proportional to 4,558.77, 6,838.16 and 1,439.10 is: 2,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.77 : 6,838.16 = 1,439.10 : x
  2. Step 2: Convert to fraction form
    4,558.77/6,838.16 = 1,439.10/x
  3. Step 3: Cross multiply
    4,558.77x = 6,838.16 × 1,439.10
  4. Step 4: Simplify right side
    4,558.77x = 9,840,765.46
  5. Step 5: Solve for x
    x = 9,840,765.46/4,558.77
  6. Step 6: Final answer
    x = 2,158.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.