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Finding the Fourth Proportional to 5,959.31, 8,938.08 and 1,577.07

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Solution

The fourth proportional to 5,959.31, 8,938.08 and 1,577.07 is: 2,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.31 : 8,938.08 = 1,577.07 : x
  2. Step 2: Convert to fraction form
    5,959.31/8,938.08 = 1,577.07/x
  3. Step 3: Cross multiply
    5,959.31x = 8,938.08 × 1,577.07
  4. Step 4: Simplify right side
    5,959.31x = 14,095,977.83
  5. Step 5: Solve for x
    x = 14,095,977.83/5,959.31
  6. Step 6: Final answer
    x = 2,365.37

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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.