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Finding the Fourth Proportional to 5,370.88, 8,053.34 and 1,859

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Solution

The fourth proportional to 5,370.88, 8,053.34 and 1,859 is: 2,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.88 : 8,053.34 = 1,859 : x
  2. Step 2: Convert to fraction form
    5,370.88/8,053.34 = 1,859/x
  3. Step 3: Cross multiply
    5,370.88x = 8,053.34 × 1,859
  4. Step 4: Simplify right side
    5,370.88x = 14,971,159.06
  5. Step 5: Solve for x
    x = 14,971,159.06/5,370.88
  6. Step 6: Final answer
    x = 2,787.47

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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.