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Finding the Fourth Proportional to 4,753.66, 7,120.10 and 2,409.64

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Solution

The fourth proportional to 4,753.66, 7,120.10 and 2,409.64 is: 3,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.66 : 7,120.10 = 2,409.64 : x
  2. Step 2: Convert to fraction form
    4,753.66/7,120.10 = 2,409.64/x
  3. Step 3: Cross multiply
    4,753.66x = 7,120.10 × 2,409.64
  4. Step 4: Simplify right side
    4,753.66x = 17,156,877.76
  5. Step 5: Solve for x
    x = 17,156,877.76/4,753.66
  6. Step 6: Final answer
    x = 3,609.19

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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.