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Finding the Fourth Proportional to 3,503.16, 5,255.04 and 1,162.67

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Solution

The fourth proportional to 3,503.16, 5,255.04 and 1,162.67 is: 1,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.16 : 5,255.04 = 1,162.67 : x
  2. Step 2: Convert to fraction form
    3,503.16/5,255.04 = 1,162.67/x
  3. Step 3: Cross multiply
    3,503.16x = 5,255.04 × 1,162.67
  4. Step 4: Simplify right side
    3,503.16x = 6,109,851.08
  5. Step 5: Solve for x
    x = 6,109,851.08/3,503.16
  6. Step 6: Final answer
    x = 1,744.10

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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.