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Finding the Fourth Proportional to 5,267.84, 7,901.74 and 5,005.06

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Solution

The fourth proportional to 5,267.84, 7,901.74 and 5,005.06 is: 7,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.84 : 7,901.74 = 5,005.06 : x
  2. Step 2: Convert to fraction form
    5,267.84/7,901.74 = 5,005.06/x
  3. Step 3: Cross multiply
    5,267.84x = 7,901.74 × 5,005.06
  4. Step 4: Simplify right side
    5,267.84x = 39,548,682.80
  5. Step 5: Solve for x
    x = 39,548,682.80/5,267.84
  6. Step 6: Final answer
    x = 7,507.57

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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.