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Finding the Fourth Proportional to 5,071.64, 7,610.85 and 1,784.72

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Solution

The fourth proportional to 5,071.64, 7,610.85 and 1,784.72 is: 2,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.64 : 7,610.85 = 1,784.72 : x
  2. Step 2: Convert to fraction form
    5,071.64/7,610.85 = 1,784.72/x
  3. Step 3: Cross multiply
    5,071.64x = 7,610.85 × 1,784.72
  4. Step 4: Simplify right side
    5,071.64x = 13,583,236.21
  5. Step 5: Solve for x
    x = 13,583,236.21/5,071.64
  6. Step 6: Final answer
    x = 2,678.27

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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.