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Finding the Fourth Proportional to 5,731.40, 8,598 and 2,444.50

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Solution

The fourth proportional to 5,731.40, 8,598 and 2,444.50 is: 3,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.40 : 8,598 = 2,444.50 : x
  2. Step 2: Convert to fraction form
    5,731.40/8,598 = 2,444.50/x
  3. Step 3: Cross multiply
    5,731.40x = 8,598 × 2,444.50
  4. Step 4: Simplify right side
    5,731.40x = 21,017,811
  5. Step 5: Solve for x
    x = 21,017,811/5,731.40
  6. Step 6: Final answer
    x = 3,667.13

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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.