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Finding the Fourth Proportional to 5,652.16, 8,475 and 5,326

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Solution

The fourth proportional to 5,652.16, 8,475 and 5,326 is: 7,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.16 : 8,475 = 5,326 : x
  2. Step 2: Convert to fraction form
    5,652.16/8,475 = 5,326/x
  3. Step 3: Cross multiply
    5,652.16x = 8,475 × 5,326
  4. Step 4: Simplify right side
    5,652.16x = 45,137,850
  5. Step 5: Solve for x
    x = 45,137,850/5,652.16
  6. Step 6: Final answer
    x = 7,985.95

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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.