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Finding the Fourth Proportional to 5,641.58, 8,464.74 and 2,355.38

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Solution

The fourth proportional to 5,641.58, 8,464.74 and 2,355.38 is: 3,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.58 : 8,464.74 = 2,355.38 : x
  2. Step 2: Convert to fraction form
    5,641.58/8,464.74 = 2,355.38/x
  3. Step 3: Cross multiply
    5,641.58x = 8,464.74 × 2,355.38
  4. Step 4: Simplify right side
    5,641.58x = 19,937,679.30
  5. Step 5: Solve for x
    x = 19,937,679.30/5,641.58
  6. Step 6: Final answer
    x = 3,534.06

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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.