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Finding the Fourth Proportional to 4,730.35, 6,529.01 and 2,742

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Solution

The fourth proportional to 4,730.35, 6,529.01 and 2,742 is: 3,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.35 : 6,529.01 = 2,742 : x
  2. Step 2: Convert to fraction form
    4,730.35/6,529.01 = 2,742/x
  3. Step 3: Cross multiply
    4,730.35x = 6,529.01 × 2,742
  4. Step 4: Simplify right side
    4,730.35x = 17,902,545.42
  5. Step 5: Solve for x
    x = 17,902,545.42/4,730.35
  6. Step 6: Final answer
    x = 3,784.61

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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.