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Finding the Fourth Proportional to 5,564.96, 8,347.90 and 2,444.54

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Solution

The fourth proportional to 5,564.96, 8,347.90 and 2,444.54 is: 3,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.96 : 8,347.90 = 2,444.54 : x
  2. Step 2: Convert to fraction form
    5,564.96/8,347.90 = 2,444.54/x
  3. Step 3: Cross multiply
    5,564.96x = 8,347.90 × 2,444.54
  4. Step 4: Simplify right side
    5,564.96x = 20,406,721.50
  5. Step 5: Solve for x
    x = 20,406,721.50/5,564.96
  6. Step 6: Final answer
    x = 3,667.00

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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.