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Finding the Fourth Proportional to 5,714.07, 7,885.47 and 3,356.25

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Solution

The fourth proportional to 5,714.07, 7,885.47 and 3,356.25 is: 4,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.07 : 7,885.47 = 3,356.25 : x
  2. Step 2: Convert to fraction form
    5,714.07/7,885.47 = 3,356.25/x
  3. Step 3: Cross multiply
    5,714.07x = 7,885.47 × 3,356.25
  4. Step 4: Simplify right side
    5,714.07x = 26,465,608.69
  5. Step 5: Solve for x
    x = 26,465,608.69/5,714.07
  6. Step 6: Final answer
    x = 4,631.66

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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.