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Finding the Fourth Proportional to 4,602.62, 6,903.93 and 2,007.38

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Solution

The fourth proportional to 4,602.62, 6,903.93 and 2,007.38 is: 3,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.62 : 6,903.93 = 2,007.38 : x
  2. Step 2: Convert to fraction form
    4,602.62/6,903.93 = 2,007.38/x
  3. Step 3: Cross multiply
    4,602.62x = 6,903.93 × 2,007.38
  4. Step 4: Simplify right side
    4,602.62x = 13,858,835.79
  5. Step 5: Solve for x
    x = 13,858,835.79/4,602.62
  6. Step 6: Final answer
    x = 3,011.07

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Why These Related Problems?

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