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Finding the Fourth Proportional to 5,263.46, 7,896 and 1,752.26

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Solution

The fourth proportional to 5,263.46, 7,896 and 1,752.26 is: 2,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.46 : 7,896 = 1,752.26 : x
  2. Step 2: Convert to fraction form
    5,263.46/7,896 = 1,752.26/x
  3. Step 3: Cross multiply
    5,263.46x = 7,896 × 1,752.26
  4. Step 4: Simplify right side
    5,263.46x = 13,835,864.70
  5. Step 5: Solve for x
    x = 13,835,864.70/5,263.46
  6. Step 6: Final answer
    x = 2,628.66

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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.