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Finding the Fourth Proportional to 3,549.75, 4,898.61 and 1,977.84

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Solution

The fourth proportional to 3,549.75, 4,898.61 and 1,977.84 is: 2,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.75 : 4,898.61 = 1,977.84 : x
  2. Step 2: Convert to fraction form
    3,549.75/4,898.61 = 1,977.84/x
  3. Step 3: Cross multiply
    3,549.75x = 4,898.61 × 1,977.84
  4. Step 4: Simplify right side
    3,549.75x = 9,688,666.80
  5. Step 5: Solve for x
    x = 9,688,666.80/3,549.75
  6. Step 6: Final answer
    x = 2,729.39

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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.