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Finding the Fourth Proportional to 3,669.94, 5,071.80 and 3,005.74

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Solution

The fourth proportional to 3,669.94, 5,071.80 and 3,005.74 is: 4,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.94 : 5,071.80 = 3,005.74 : x
  2. Step 2: Convert to fraction form
    3,669.94/5,071.80 = 3,005.74/x
  3. Step 3: Cross multiply
    3,669.94x = 5,071.80 × 3,005.74
  4. Step 4: Simplify right side
    3,669.94x = 15,244,512.13
  5. Step 5: Solve for x
    x = 15,244,512.13/3,669.94
  6. Step 6: Final answer
    x = 4,153.89

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1.5x scale

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.