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Finding the Fourth Proportional to 3,336, 5,004.07 and 1,027.50

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Solution

The fourth proportional to 3,336, 5,004.07 and 1,027.50 is: 1,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336 : 5,004.07 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    3,336/5,004.07 = 1,027.50/x
  3. Step 3: Cross multiply
    3,336x = 5,004.07 × 1,027.50
  4. Step 4: Simplify right side
    3,336x = 5,141,681.93
  5. Step 5: Solve for x
    x = 5,141,681.93/3,336
  6. Step 6: Final answer
    x = 1,541.27

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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.