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Finding the Fourth Proportional to 5,746.86, 8,608.95 and 4,508.10

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Solution

The fourth proportional to 5,746.86, 8,608.95 and 4,508.10 is: 6,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.86 : 8,608.95 = 4,508.10 : x
  2. Step 2: Convert to fraction form
    5,746.86/8,608.95 = 4,508.10/x
  3. Step 3: Cross multiply
    5,746.86x = 8,608.95 × 4,508.10
  4. Step 4: Simplify right side
    5,746.86x = 38,810,007.50
  5. Step 5: Solve for x
    x = 38,810,007.50/5,746.86
  6. Step 6: Final answer
    x = 6,753.25

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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.