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Finding the Fourth Proportional to 4,483, 6,189.44 and 2,913.40

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Solution

The fourth proportional to 4,483, 6,189.44 and 2,913.40 is: 4,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483 : 6,189.44 = 2,913.40 : x
  2. Step 2: Convert to fraction form
    4,483/6,189.44 = 2,913.40/x
  3. Step 3: Cross multiply
    4,483x = 6,189.44 × 2,913.40
  4. Step 4: Simplify right side
    4,483x = 18,032,314.50
  5. Step 5: Solve for x
    x = 18,032,314.50/4,483
  6. Step 6: Final answer
    x = 4,022.38

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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.