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Finding the Fourth Proportional to 4,608.93, 6,913.40 and 1,322.04

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Solution

The fourth proportional to 4,608.93, 6,913.40 and 1,322.04 is: 1,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.93 : 6,913.40 = 1,322.04 : x
  2. Step 2: Convert to fraction form
    4,608.93/6,913.40 = 1,322.04/x
  3. Step 3: Cross multiply
    4,608.93x = 6,913.40 × 1,322.04
  4. Step 4: Simplify right side
    4,608.93x = 9,139,784.73
  5. Step 5: Solve for x
    x = 9,139,784.73/4,608.93
  6. Step 6: Final answer
    x = 1,983.06

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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.