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Finding the Fourth Proportional to 3,307.39, 4,564.22 and 1,815.45

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Solution

The fourth proportional to 3,307.39, 4,564.22 and 1,815.45 is: 2,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.39 : 4,564.22 = 1,815.45 : x
  2. Step 2: Convert to fraction form
    3,307.39/4,564.22 = 1,815.45/x
  3. Step 3: Cross multiply
    3,307.39x = 4,564.22 × 1,815.45
  4. Step 4: Simplify right side
    3,307.39x = 8,286,113.20
  5. Step 5: Solve for x
    x = 8,286,113.20/3,307.39
  6. Step 6: Final answer
    x = 2,505.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.