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Finding the Fourth Proportional to 5,641.05, 8,464.02 and 2,354.88

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Solution

The fourth proportional to 5,641.05, 8,464.02 and 2,354.88 is: 3,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.05 : 8,464.02 = 2,354.88 : x
  2. Step 2: Convert to fraction form
    5,641.05/8,464.02 = 2,354.88/x
  3. Step 3: Cross multiply
    5,641.05x = 8,464.02 × 2,354.88
  4. Step 4: Simplify right side
    5,641.05x = 19,931,751.42
  5. Step 5: Solve for x
    x = 19,931,751.42/5,641.05
  6. Step 6: Final answer
    x = 3,533.34

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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.