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Finding the Fourth Proportional to 3,548.65, 4,897.95 and 2,057.39

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Solution

The fourth proportional to 3,548.65, 4,897.95 and 2,057.39 is: 2,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.65 : 4,897.95 = 2,057.39 : x
  2. Step 2: Convert to fraction form
    3,548.65/4,897.95 = 2,057.39/x
  3. Step 3: Cross multiply
    3,548.65x = 4,897.95 × 2,057.39
  4. Step 4: Simplify right side
    3,548.65x = 10,076,993.35
  5. Step 5: Solve for x
    x = 10,076,993.35/3,548.65
  6. Step 6: Final answer
    x = 2,839.67

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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.