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Finding the Fourth Proportional to 5,904.25, 8,856.78 and 1,955.50

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Solution

The fourth proportional to 5,904.25, 8,856.78 and 1,955.50 is: 2,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.25 : 8,856.78 = 1,955.50 : x
  2. Step 2: Convert to fraction form
    5,904.25/8,856.78 = 1,955.50/x
  3. Step 3: Cross multiply
    5,904.25x = 8,856.78 × 1,955.50
  4. Step 4: Simplify right side
    5,904.25x = 17,319,433.29
  5. Step 5: Solve for x
    x = 17,319,433.29/5,904.25
  6. Step 6: Final answer
    x = 2,933.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.