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Finding the Fourth Proportional to 4,865.67, 7,298.66 and 1,904

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Solution

The fourth proportional to 4,865.67, 7,298.66 and 1,904 is: 2,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.67 : 7,298.66 = 1,904 : x
  2. Step 2: Convert to fraction form
    4,865.67/7,298.66 = 1,904/x
  3. Step 3: Cross multiply
    4,865.67x = 7,298.66 × 1,904
  4. Step 4: Simplify right side
    4,865.67x = 13,896,648.64
  5. Step 5: Solve for x
    x = 13,896,648.64/4,865.67
  6. Step 6: Final answer
    x = 2,856.06

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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.