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Finding the Fourth Proportional to 5,191.13, 7,785.48 and 1,492.67

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Solution

The fourth proportional to 5,191.13, 7,785.48 and 1,492.67 is: 2,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.13 : 7,785.48 = 1,492.67 : x
  2. Step 2: Convert to fraction form
    5,191.13/7,785.48 = 1,492.67/x
  3. Step 3: Cross multiply
    5,191.13x = 7,785.48 × 1,492.67
  4. Step 4: Simplify right side
    5,191.13x = 11,621,152.43
  5. Step 5: Solve for x
    x = 11,621,152.43/5,191.13
  6. Step 6: Final answer
    x = 2,238.66

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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.