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Finding the Fourth Proportional to 3,642.90, 5,465.37 and 1,563.90

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Solution

The fourth proportional to 3,642.90, 5,465.37 and 1,563.90 is: 2,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.90 : 5,465.37 = 1,563.90 : x
  2. Step 2: Convert to fraction form
    3,642.90/5,465.37 = 1,563.90/x
  3. Step 3: Cross multiply
    3,642.90x = 5,465.37 × 1,563.90
  4. Step 4: Simplify right side
    3,642.90x = 8,547,284.32
  5. Step 5: Solve for x
    x = 8,547,284.32/3,642.90
  6. Step 6: Final answer
    x = 2,346.29

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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.