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Finding the Fourth Proportional to 4,659.35, 6,429.50 and 2,744.86

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Solution

The fourth proportional to 4,659.35, 6,429.50 and 2,744.86 is: 3,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.35 : 6,429.50 = 2,744.86 : x
  2. Step 2: Convert to fraction form
    4,659.35/6,429.50 = 2,744.86/x
  3. Step 3: Cross multiply
    4,659.35x = 6,429.50 × 2,744.86
  4. Step 4: Simplify right side
    4,659.35x = 17,648,068.16
  5. Step 5: Solve for x
    x = 17,648,068.16/4,659.35
  6. Step 6: Final answer
    x = 3,787.67

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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.