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Finding the Fourth Proportional to 5,444.61, 7,513.03 and 3,054.03

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Solution

The fourth proportional to 5,444.61, 7,513.03 and 3,054.03 is: 4,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.61 : 7,513.03 = 3,054.03 : x
  2. Step 2: Convert to fraction form
    5,444.61/7,513.03 = 3,054.03/x
  3. Step 3: Cross multiply
    5,444.61x = 7,513.03 × 3,054.03
  4. Step 4: Simplify right side
    5,444.61x = 22,945,011.38
  5. Step 5: Solve for x
    x = 22,945,011.38/5,444.61
  6. Step 6: Final answer
    x = 4,214.26

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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.