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Finding the Fourth Proportional to 5,648.50, 8,478.15 and 2,360.72

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Solution

The fourth proportional to 5,648.50, 8,478.15 and 2,360.72 is: 3,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.50 : 8,478.15 = 2,360.72 : x
  2. Step 2: Convert to fraction form
    5,648.50/8,478.15 = 2,360.72/x
  3. Step 3: Cross multiply
    5,648.50x = 8,478.15 × 2,360.72
  4. Step 4: Simplify right side
    5,648.50x = 20,014,538.27
  5. Step 5: Solve for x
    x = 20,014,538.27/5,648.50
  6. Step 6: Final answer
    x = 3,543.34

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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.