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Finding the Fourth Proportional to 3,533.94, 4,865.70 and 3,001.68

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Solution

The fourth proportional to 3,533.94, 4,865.70 and 3,001.68 is: 4,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.94 : 4,865.70 = 3,001.68 : x
  2. Step 2: Convert to fraction form
    3,533.94/4,865.70 = 3,001.68/x
  3. Step 3: Cross multiply
    3,533.94x = 4,865.70 × 3,001.68
  4. Step 4: Simplify right side
    3,533.94x = 14,605,274.38
  5. Step 5: Solve for x
    x = 14,605,274.38/3,533.94
  6. Step 6: Final answer
    x = 4,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.