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Finding the Fourth Proportional to 5,303.76, 7,317 and 3,208.20

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Solution

The fourth proportional to 5,303.76, 7,317 and 3,208.20 is: 4,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.76 : 7,317 = 3,208.20 : x
  2. Step 2: Convert to fraction form
    5,303.76/7,317 = 3,208.20/x
  3. Step 3: Cross multiply
    5,303.76x = 7,317 × 3,208.20
  4. Step 4: Simplify right side
    5,303.76x = 23,474,399.40
  5. Step 5: Solve for x
    x = 23,474,399.40/5,303.76
  6. Step 6: Final answer
    x = 4,425.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.