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Finding the Fourth Proportional to 5,352.66, 8,024.96 and 1,652.72

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Solution

The fourth proportional to 5,352.66, 8,024.96 and 1,652.72 is: 2,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.66 : 8,024.96 = 1,652.72 : x
  2. Step 2: Convert to fraction form
    5,352.66/8,024.96 = 1,652.72/x
  3. Step 3: Cross multiply
    5,352.66x = 8,024.96 × 1,652.72
  4. Step 4: Simplify right side
    5,352.66x = 13,262,963.50
  5. Step 5: Solve for x
    x = 13,262,963.50/5,352.66
  6. Step 6: Final answer
    x = 2,477.83

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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.