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Finding the Fourth Proportional to 6,980.47, 10,458.25 and 3,686.20

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Solution

The fourth proportional to 6,980.47, 10,458.25 and 3,686.20 is: 5,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.47 : 10,458.25 = 3,686.20 : x
  2. Step 2: Convert to fraction form
    6,980.47/10,458.25 = 3,686.20/x
  3. Step 3: Cross multiply
    6,980.47x = 10,458.25 × 3,686.20
  4. Step 4: Simplify right side
    6,980.47x = 38,551,165.79
  5. Step 5: Solve for x
    x = 38,551,165.79/6,980.47
  6. Step 6: Final answer
    x = 5,522.72

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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.