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Finding the Fourth Proportional to 5,254.78, 7,883.32 and 1,557.28

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Solution

The fourth proportional to 5,254.78, 7,883.32 and 1,557.28 is: 2,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.78 : 7,883.32 = 1,557.28 : x
  2. Step 2: Convert to fraction form
    5,254.78/7,883.32 = 1,557.28/x
  3. Step 3: Cross multiply
    5,254.78x = 7,883.32 × 1,557.28
  4. Step 4: Simplify right side
    5,254.78x = 12,276,536.57
  5. Step 5: Solve for x
    x = 12,276,536.57/5,254.78
  6. Step 6: Final answer
    x = 2,336.26

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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.