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Finding the Fourth Proportional to 4,737.78, 7,090.86 and 3,564.93

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Solution

The fourth proportional to 4,737.78, 7,090.86 and 3,564.93 is: 5,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.78 : 7,090.86 = 3,564.93 : x
  2. Step 2: Convert to fraction form
    4,737.78/7,090.86 = 3,564.93/x
  3. Step 3: Cross multiply
    4,737.78x = 7,090.86 × 3,564.93
  4. Step 4: Simplify right side
    4,737.78x = 25,278,419.54
  5. Step 5: Solve for x
    x = 25,278,419.54/4,737.78
  6. Step 6: Final answer
    x = 5,335.50

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1.5x scale

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.