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Finding the Fourth Proportional to 5,216.40, 7,808.40 and 4,114.80

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Solution

The fourth proportional to 5,216.40, 7,808.40 and 4,114.80 is: 6,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.40 : 7,808.40 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    5,216.40/7,808.40 = 4,114.80/x
  3. Step 3: Cross multiply
    5,216.40x = 7,808.40 × 4,114.80
  4. Step 4: Simplify right side
    5,216.40x = 32,130,004.32
  5. Step 5: Solve for x
    x = 32,130,004.32/5,216.40
  6. Step 6: Final answer
    x = 6,159.42

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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.