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Finding the Fourth Proportional to 3,467.36, 4,784.95 and 1,874.00

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Solution

The fourth proportional to 3,467.36, 4,784.95 and 1,874.00 is: 2,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.36 : 4,784.95 = 1,874.00 : x
  2. Step 2: Convert to fraction form
    3,467.36/4,784.95 = 1,874.00/x
  3. Step 3: Cross multiply
    3,467.36x = 4,784.95 × 1,874.00
  4. Step 4: Simplify right side
    3,467.36x = 8,967,003.58
  5. Step 5: Solve for x
    x = 8,967,003.58/3,467.36
  6. Step 6: Final answer
    x = 2,586.12

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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.