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Finding the Fourth Proportional to 4,656.81, 6,985.27 and 1,846.33

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Solution

The fourth proportional to 4,656.81, 6,985.27 and 1,846.33 is: 2,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.81 : 6,985.27 = 1,846.33 : x
  2. Step 2: Convert to fraction form
    4,656.81/6,985.27 = 1,846.33/x
  3. Step 3: Cross multiply
    4,656.81x = 6,985.27 × 1,846.33
  4. Step 4: Simplify right side
    4,656.81x = 12,897,113.56
  5. Step 5: Solve for x
    x = 12,897,113.56/4,656.81
  6. Step 6: Final answer
    x = 2,769.52

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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.