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Finding the Fourth Proportional to 5,209.55, 7,814.07 and 3,130.14

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Solution

The fourth proportional to 5,209.55, 7,814.07 and 3,130.14 is: 4,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.55 : 7,814.07 = 3,130.14 : x
  2. Step 2: Convert to fraction form
    5,209.55/7,814.07 = 3,130.14/x
  3. Step 3: Cross multiply
    5,209.55x = 7,814.07 × 3,130.14
  4. Step 4: Simplify right side
    5,209.55x = 24,459,133.07
  5. Step 5: Solve for x
    x = 24,459,133.07/5,209.55
  6. Step 6: Final answer
    x = 4,695.06

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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.