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Finding the Fourth Proportional to 5,947.68, 8,920.44 and 1,564.86

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Solution

The fourth proportional to 5,947.68, 8,920.44 and 1,564.86 is: 2,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.68 : 8,920.44 = 1,564.86 : x
  2. Step 2: Convert to fraction form
    5,947.68/8,920.44 = 1,564.86/x
  3. Step 3: Cross multiply
    5,947.68x = 8,920.44 × 1,564.86
  4. Step 4: Simplify right side
    5,947.68x = 13,959,239.74
  5. Step 5: Solve for x
    x = 13,959,239.74/5,947.68
  6. Step 6: Final answer
    x = 2,347.01

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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.