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Finding the Fourth Proportional to 5,415.54, 8,124.54 and 1,718

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Solution

The fourth proportional to 5,415.54, 8,124.54 and 1,718 is: 2,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.54 : 8,124.54 = 1,718 : x
  2. Step 2: Convert to fraction form
    5,415.54/8,124.54 = 1,718/x
  3. Step 3: Cross multiply
    5,415.54x = 8,124.54 × 1,718
  4. Step 4: Simplify right side
    5,415.54x = 13,957,959.72
  5. Step 5: Solve for x
    x = 13,957,959.72/5,415.54
  6. Step 6: Final answer
    x = 2,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.