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Finding the Fourth Proportional to 5,714.02, 7,882.59 and 3,592.18

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Solution

The fourth proportional to 5,714.02, 7,882.59 and 3,592.18 is: 4,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.02 : 7,882.59 = 3,592.18 : x
  2. Step 2: Convert to fraction form
    5,714.02/7,882.59 = 3,592.18/x
  3. Step 3: Cross multiply
    5,714.02x = 7,882.59 × 3,592.18
  4. Step 4: Simplify right side
    5,714.02x = 28,315,682.15
  5. Step 5: Solve for x
    x = 28,315,682.15/5,714.02
  6. Step 6: Final answer
    x = 4,955.47

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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.