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Finding the Fourth Proportional to 3,844.12, 5,762.74 and 1,503.58

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Solution

The fourth proportional to 3,844.12, 5,762.74 and 1,503.58 is: 2,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.12 : 5,762.74 = 1,503.58 : x
  2. Step 2: Convert to fraction form
    3,844.12/5,762.74 = 1,503.58/x
  3. Step 3: Cross multiply
    3,844.12x = 5,762.74 × 1,503.58
  4. Step 4: Simplify right side
    3,844.12x = 8,664,740.61
  5. Step 5: Solve for x
    x = 8,664,740.61/3,844.12
  6. Step 6: Final answer
    x = 2,254.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.