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Finding the Fourth Proportional to 5,654.34, 7,803.18 and 3,415.77

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Solution

The fourth proportional to 5,654.34, 7,803.18 and 3,415.77 is: 4,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.34 : 7,803.18 = 3,415.77 : x
  2. Step 2: Convert to fraction form
    5,654.34/7,803.18 = 3,415.77/x
  3. Step 3: Cross multiply
    5,654.34x = 7,803.18 × 3,415.77
  4. Step 4: Simplify right side
    5,654.34x = 26,653,868.15
  5. Step 5: Solve for x
    x = 26,653,868.15/5,654.34
  6. Step 6: Final answer
    x = 4,713.88

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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.