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Finding the Fourth Proportional to 3,549.26, 4,898.06 and 1,977.45

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Solution

The fourth proportional to 3,549.26, 4,898.06 and 1,977.45 is: 2,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.26 : 4,898.06 = 1,977.45 : x
  2. Step 2: Convert to fraction form
    3,549.26/4,898.06 = 1,977.45/x
  3. Step 3: Cross multiply
    3,549.26x = 4,898.06 × 1,977.45
  4. Step 4: Simplify right side
    3,549.26x = 9,685,658.86
  5. Step 5: Solve for x
    x = 9,685,658.86/3,549.26
  6. Step 6: Final answer
    x = 2,728.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.