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Finding the Fourth Proportional to 5,475.60, 8,214.71 and 1,777.86

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Solution

The fourth proportional to 5,475.60, 8,214.71 and 1,777.86 is: 2,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.60 : 8,214.71 = 1,777.86 : x
  2. Step 2: Convert to fraction form
    5,475.60/8,214.71 = 1,777.86/x
  3. Step 3: Cross multiply
    5,475.60x = 8,214.71 × 1,777.86
  4. Step 4: Simplify right side
    5,475.60x = 14,604,595.43
  5. Step 5: Solve for x
    x = 14,604,595.43/5,475.60
  6. Step 6: Final answer
    x = 2,667.21

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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.