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Finding the Fourth Proportional to 3,842.64, 5,303.88 and 2,271.78

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Solution

The fourth proportional to 3,842.64, 5,303.88 and 2,271.78 is: 3,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,303.88 = 2,271.78 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,303.88 = 2,271.78/x
  3. Step 3: Cross multiply
    3,842.64x = 5,303.88 × 2,271.78
  4. Step 4: Simplify right side
    3,842.64x = 12,049,248.51
  5. Step 5: Solve for x
    x = 12,049,248.51/3,842.64
  6. Step 6: Final answer
    x = 3,135.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.