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Finding the Fourth Proportional to 3,549.37, 5,320.45 and 1,697.77

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Solution

The fourth proportional to 3,549.37, 5,320.45 and 1,697.77 is: 2,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.37 : 5,320.45 = 1,697.77 : x
  2. Step 2: Convert to fraction form
    3,549.37/5,320.45 = 1,697.77/x
  3. Step 3: Cross multiply
    3,549.37x = 5,320.45 × 1,697.77
  4. Step 4: Simplify right side
    3,549.37x = 9,032,900.40
  5. Step 5: Solve for x
    x = 9,032,900.40/3,549.37
  6. Step 6: Final answer
    x = 2,544.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.