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Finding the Fourth Proportional to 3,977.59, 5,482.47 and 3,497.82

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Solution

The fourth proportional to 3,977.59, 5,482.47 and 3,497.82 is: 4,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.59 : 5,482.47 = 3,497.82 : x
  2. Step 2: Convert to fraction form
    3,977.59/5,482.47 = 3,497.82/x
  3. Step 3: Cross multiply
    3,977.59x = 5,482.47 × 3,497.82
  4. Step 4: Simplify right side
    3,977.59x = 19,176,666.10
  5. Step 5: Solve for x
    x = 19,176,666.10/3,977.59
  6. Step 6: Final answer
    x = 4,821.18

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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.