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Finding the Fourth Proportional to 4,781.16, 7,165.02 and 4,518.28

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Solution

The fourth proportional to 4,781.16, 7,165.02 and 4,518.28 is: 6,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.16 : 7,165.02 = 4,518.28 : x
  2. Step 2: Convert to fraction form
    4,781.16/7,165.02 = 4,518.28/x
  3. Step 3: Cross multiply
    4,781.16x = 7,165.02 × 4,518.28
  4. Step 4: Simplify right side
    4,781.16x = 32,373,566.57
  5. Step 5: Solve for x
    x = 32,373,566.57/4,781.16
  6. Step 6: Final answer
    x = 6,771.07

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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.