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Finding the Fourth Proportional to 5,664.24, 8,438.93 and 5,385.40

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Solution

The fourth proportional to 5,664.24, 8,438.93 and 5,385.40 is: 8,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.24 : 8,438.93 = 5,385.40 : x
  2. Step 2: Convert to fraction form
    5,664.24/8,438.93 = 5,385.40/x
  3. Step 3: Cross multiply
    5,664.24x = 8,438.93 × 5,385.40
  4. Step 4: Simplify right side
    5,664.24x = 45,447,013.62
  5. Step 5: Solve for x
    x = 45,447,013.62/5,664.24
  6. Step 6: Final answer
    x = 8,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.