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Finding the Fourth Proportional to 5,264.47, 7,896.71 and 1,368.88

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Solution

The fourth proportional to 5,264.47, 7,896.71 and 1,368.88 is: 2,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.47 : 7,896.71 = 1,368.88 : x
  2. Step 2: Convert to fraction form
    5,264.47/7,896.71 = 1,368.88/x
  3. Step 3: Cross multiply
    5,264.47x = 7,896.71 × 1,368.88
  4. Step 4: Simplify right side
    5,264.47x = 10,809,602.06
  5. Step 5: Solve for x
    x = 10,809,602.06/5,264.47
  6. Step 6: Final answer
    x = 2,053.31

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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.