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Finding the Fourth Proportional to 5,714.64, 8,572.08 and 2,018.16

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Solution

The fourth proportional to 5,714.64, 8,572.08 and 2,018.16 is: 3,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.64 : 8,572.08 = 2,018.16 : x
  2. Step 2: Convert to fraction form
    5,714.64/8,572.08 = 2,018.16/x
  3. Step 3: Cross multiply
    5,714.64x = 8,572.08 × 2,018.16
  4. Step 4: Simplify right side
    5,714.64x = 17,299,828.97
  5. Step 5: Solve for x
    x = 17,299,828.97/5,714.64
  6. Step 6: Final answer
    x = 3,027.28

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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.