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Finding the Fourth Proportional to 3,644.88, 5,465.76 and 1,393.02

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Solution

The fourth proportional to 3,644.88, 5,465.76 and 1,393.02 is: 2,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.88 : 5,465.76 = 1,393.02 : x
  2. Step 2: Convert to fraction form
    3,644.88/5,465.76 = 1,393.02/x
  3. Step 3: Cross multiply
    3,644.88x = 5,465.76 × 1,393.02
  4. Step 4: Simplify right side
    3,644.88x = 7,613,913.00
  5. Step 5: Solve for x
    x = 7,613,913.00/3,644.88
  6. Step 6: Final answer
    x = 2,088.93

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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.