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Finding the Fourth Proportional to 5,654.80, 7,803.71 and 3,416.37

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Solution

The fourth proportional to 5,654.80, 7,803.71 and 3,416.37 is: 4,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.80 : 7,803.71 = 3,416.37 : x
  2. Step 2: Convert to fraction form
    5,654.80/7,803.71 = 3,416.37/x
  3. Step 3: Cross multiply
    5,654.80x = 7,803.71 × 3,416.37
  4. Step 4: Simplify right side
    5,654.80x = 26,660,360.73
  5. Step 5: Solve for x
    x = 26,660,360.73/5,654.80
  6. Step 6: Final answer
    x = 4,714.64

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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.