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Finding the Fourth Proportional to 5,475.48, 8,214.12 and 1,778.64

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Solution

The fourth proportional to 5,475.48, 8,214.12 and 1,778.64 is: 2,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.48 : 8,214.12 = 1,778.64 : x
  2. Step 2: Convert to fraction form
    5,475.48/8,214.12 = 1,778.64/x
  3. Step 3: Cross multiply
    5,475.48x = 8,214.12 × 1,778.64
  4. Step 4: Simplify right side
    5,475.48x = 14,609,962.40
  5. Step 5: Solve for x
    x = 14,609,962.40/5,475.48
  6. Step 6: Final answer
    x = 2,668.25

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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.