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Finding the Fourth Proportional to 5,308.88, 7,318.34 and 3,420.08

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Solution

The fourth proportional to 5,308.88, 7,318.34 and 3,420.08 is: 4,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.88 : 7,318.34 = 3,420.08 : x
  2. Step 2: Convert to fraction form
    5,308.88/7,318.34 = 3,420.08/x
  3. Step 3: Cross multiply
    5,308.88x = 7,318.34 × 3,420.08
  4. Step 4: Simplify right side
    5,308.88x = 25,029,254.58
  5. Step 5: Solve for x
    x = 25,029,254.58/5,308.88
  6. Step 6: Final answer
    x = 4,714.61

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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.