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Finding the Fourth Proportional to 5,714.96, 7,887.35 and 3,477.61

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Solution

The fourth proportional to 5,714.96, 7,887.35 and 3,477.61 is: 4,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.96 : 7,887.35 = 3,477.61 : x
  2. Step 2: Convert to fraction form
    5,714.96/7,887.35 = 3,477.61/x
  3. Step 3: Cross multiply
    5,714.96x = 7,887.35 × 3,477.61
  4. Step 4: Simplify right side
    5,714.96x = 27,429,127.23
  5. Step 5: Solve for x
    x = 27,429,127.23/5,714.96
  6. Step 6: Final answer
    x = 4,799.53

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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.