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Finding the Fourth Proportional to 3,917.08, 5,875.04 and 1,143.00

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Solution

The fourth proportional to 3,917.08, 5,875.04 and 1,143.00 is: 1,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.08 : 5,875.04 = 1,143.00 : x
  2. Step 2: Convert to fraction form
    3,917.08/5,875.04 = 1,143.00/x
  3. Step 3: Cross multiply
    3,917.08x = 5,875.04 × 1,143.00
  4. Step 4: Simplify right side
    3,917.08x = 6,715,187.04
  5. Step 5: Solve for x
    x = 6,715,187.04/3,917.08
  6. Step 6: Final answer
    x = 1,714.34

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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.