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Finding the Fourth Proportional to 3,842.76, 5,771.10 and 3,534.06

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Solution

The fourth proportional to 3,842.76, 5,771.10 and 3,534.06 is: 5,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.76 : 5,771.10 = 3,534.06 : x
  2. Step 2: Convert to fraction form
    3,842.76/5,771.10 = 3,534.06/x
  3. Step 3: Cross multiply
    3,842.76x = 5,771.10 × 3,534.06
  4. Step 4: Simplify right side
    3,842.76x = 20,395,413.67
  5. Step 5: Solve for x
    x = 20,395,413.67/3,842.76
  6. Step 6: Final answer
    x = 5,307.49

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1.5x scale

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.