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Finding the Fourth Proportional to 3,646.44, 5,465.10 and 1,563.99

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Solution

The fourth proportional to 3,646.44, 5,465.10 and 1,563.99 is: 2,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.44 : 5,465.10 = 1,563.99 : x
  2. Step 2: Convert to fraction form
    3,646.44/5,465.10 = 1,563.99/x
  3. Step 3: Cross multiply
    3,646.44x = 5,465.10 × 1,563.99
  4. Step 4: Simplify right side
    3,646.44x = 8,547,361.75
  5. Step 5: Solve for x
    x = 8,547,361.75/3,646.44
  6. Step 6: Final answer
    x = 2,344.03

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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.