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Finding the Fourth Proportional to 5,714.34, 8,570.79 and 3,248.93

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Solution

The fourth proportional to 5,714.34, 8,570.79 and 3,248.93 is: 4,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.34 : 8,570.79 = 3,248.93 : x
  2. Step 2: Convert to fraction form
    5,714.34/8,570.79 = 3,248.93/x
  3. Step 3: Cross multiply
    5,714.34x = 8,570.79 × 3,248.93
  4. Step 4: Simplify right side
    5,714.34x = 27,845,896.75
  5. Step 5: Solve for x
    x = 27,845,896.75/5,714.34
  6. Step 6: Final answer
    x = 4,872.99

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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.