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Finding the Fourth Proportional to 3,549.69, 4,897.85 and 2,057.06

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Solution

The fourth proportional to 3,549.69, 4,897.85 and 2,057.06 is: 2,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.69 : 4,897.85 = 2,057.06 : x
  2. Step 2: Convert to fraction form
    3,549.69/4,897.85 = 2,057.06/x
  3. Step 3: Cross multiply
    3,549.69x = 4,897.85 × 2,057.06
  4. Step 4: Simplify right side
    3,549.69x = 10,075,173.28
  5. Step 5: Solve for x
    x = 10,075,173.28/3,549.69
  6. Step 6: Final answer
    x = 2,838.32

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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.