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Finding the Fourth Proportional to 4,196.30, 6,294.84 and 1,856.00

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Solution

The fourth proportional to 4,196.30, 6,294.84 and 1,856.00 is: 2,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.30 : 6,294.84 = 1,856.00 : x
  2. Step 2: Convert to fraction form
    4,196.30/6,294.84 = 1,856.00/x
  3. Step 3: Cross multiply
    4,196.30x = 6,294.84 × 1,856.00
  4. Step 4: Simplify right side
    4,196.30x = 11,683,191.57
  5. Step 5: Solve for x
    x = 11,683,191.57/4,196.30
  6. Step 6: Final answer
    x = 2,784.17

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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.