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Finding the Fourth Proportional to 5,406.52, 7,463.85 and 3,493.51

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Solution

The fourth proportional to 5,406.52, 7,463.85 and 3,493.51 is: 4,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.52 : 7,463.85 = 3,493.51 : x
  2. Step 2: Convert to fraction form
    5,406.52/7,463.85 = 3,493.51/x
  3. Step 3: Cross multiply
    5,406.52x = 7,463.85 × 3,493.51
  4. Step 4: Simplify right side
    5,406.52x = 26,075,034.61
  5. Step 5: Solve for x
    x = 26,075,034.61/5,406.52
  6. Step 6: Final answer
    x = 4,822.89

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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.