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Finding the Fourth Proportional to 4,887.92, 7,332.60 and 1,768.16

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Solution

The fourth proportional to 4,887.92, 7,332.60 and 1,768.16 is: 2,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.92 : 7,332.60 = 1,768.16 : x
  2. Step 2: Convert to fraction form
    4,887.92/7,332.60 = 1,768.16/x
  3. Step 3: Cross multiply
    4,887.92x = 7,332.60 × 1,768.16
  4. Step 4: Simplify right side
    4,887.92x = 12,965,210.02
  5. Step 5: Solve for x
    x = 12,965,210.02/4,887.92
  6. Step 6: Final answer
    x = 2,652.50

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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.