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Finding the Fourth Proportional to 4,746, 6,549.48 and 2,650.32

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Solution

The fourth proportional to 4,746, 6,549.48 and 2,650.32 is: 3,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 6,549.48 = 2,650.32 : x
  2. Step 2: Convert to fraction form
    4,746/6,549.48 = 2,650.32/x
  3. Step 3: Cross multiply
    4,746x = 6,549.48 × 2,650.32
  4. Step 4: Simplify right side
    4,746x = 17,358,217.83
  5. Step 5: Solve for x
    x = 17,358,217.83/4,746
  6. Step 6: Final answer
    x = 3,657.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.