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Finding the Fourth Proportional to 5,133.76, 7,700.64 and 1,238.17

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Solution

The fourth proportional to 5,133.76, 7,700.64 and 1,238.17 is: 1,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.76 : 7,700.64 = 1,238.17 : x
  2. Step 2: Convert to fraction form
    5,133.76/7,700.64 = 1,238.17/x
  3. Step 3: Cross multiply
    5,133.76x = 7,700.64 × 1,238.17
  4. Step 4: Simplify right side
    5,133.76x = 9,534,701.43
  5. Step 5: Solve for x
    x = 9,534,701.43/5,133.76
  6. Step 6: Final answer
    x = 1,857.26

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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.