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Finding the Fourth Proportional to 4,607.94, 6,903.69 and 1,933.62

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Solution

The fourth proportional to 4,607.94, 6,903.69 and 1,933.62 is: 2,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.94 : 6,903.69 = 1,933.62 : x
  2. Step 2: Convert to fraction form
    4,607.94/6,903.69 = 1,933.62/x
  3. Step 3: Cross multiply
    4,607.94x = 6,903.69 × 1,933.62
  4. Step 4: Simplify right side
    4,607.94x = 13,349,113.06
  5. Step 5: Solve for x
    x = 13,349,113.06/4,607.94
  6. Step 6: Final answer
    x = 2,896.98

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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.