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Finding the Fourth Proportional to 5,203.46, 7,801.07 and 3,009.71

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Solution

The fourth proportional to 5,203.46, 7,801.07 and 3,009.71 is: 4,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.46 : 7,801.07 = 3,009.71 : x
  2. Step 2: Convert to fraction form
    5,203.46/7,801.07 = 3,009.71/x
  3. Step 3: Cross multiply
    5,203.46x = 7,801.07 × 3,009.71
  4. Step 4: Simplify right side
    5,203.46x = 23,478,904.34
  5. Step 5: Solve for x
    x = 23,478,904.34/5,203.46
  6. Step 6: Final answer
    x = 4,512.18

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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.