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Finding the Fourth Proportional to 4,365, 6,548.22 and 1,899.16

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Solution

The fourth proportional to 4,365, 6,548.22 and 1,899.16 is: 2,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 6,548.22 = 1,899.16 : x
  2. Step 2: Convert to fraction form
    4,365/6,548.22 = 1,899.16/x
  3. Step 3: Cross multiply
    4,365x = 6,548.22 × 1,899.16
  4. Step 4: Simplify right side
    4,365x = 12,436,117.50
  5. Step 5: Solve for x
    x = 12,436,117.50/4,365
  6. Step 6: Final answer
    x = 2,849.05

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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.