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Finding the Fourth Proportional to 3,628.39, 5,442.59 and 1,030.99

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Solution

The fourth proportional to 3,628.39, 5,442.59 and 1,030.99 is: 1,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.39 : 5,442.59 = 1,030.99 : x
  2. Step 2: Convert to fraction form
    3,628.39/5,442.59 = 1,030.99/x
  3. Step 3: Cross multiply
    3,628.39x = 5,442.59 × 1,030.99
  4. Step 4: Simplify right side
    3,628.39x = 5,611,250.71
  5. Step 5: Solve for x
    x = 5,611,250.71/3,628.39
  6. Step 6: Final answer
    x = 1,546.49

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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.