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Finding the Fourth Proportional to 5,434.60, 8,135.70 and 5,114.20

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Solution

The fourth proportional to 5,434.60, 8,135.70 and 5,114.20 is: 7,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.60 : 8,135.70 = 5,114.20 : x
  2. Step 2: Convert to fraction form
    5,434.60/8,135.70 = 5,114.20/x
  3. Step 3: Cross multiply
    5,434.60x = 8,135.70 × 5,114.20
  4. Step 4: Simplify right side
    5,434.60x = 41,607,596.94
  5. Step 5: Solve for x
    x = 41,607,596.94/5,434.60
  6. Step 6: Final answer
    x = 7,656.06

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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.