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Finding the Fourth Proportional to 4,932.03, 7,397.32 and 2,009.64

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Solution

The fourth proportional to 4,932.03, 7,397.32 and 2,009.64 is: 3,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.03 : 7,397.32 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    4,932.03/7,397.32 = 2,009.64/x
  3. Step 3: Cross multiply
    4,932.03x = 7,397.32 × 2,009.64
  4. Step 4: Simplify right side
    4,932.03x = 14,865,950.16
  5. Step 5: Solve for x
    x = 14,865,950.16/4,932.03
  6. Step 6: Final answer
    x = 3,014.16

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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.