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Finding the Fourth Proportional to 5,058.35, 7,587.17 and 1,360.50

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Solution

The fourth proportional to 5,058.35, 7,587.17 and 1,360.50 is: 2,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.35 : 7,587.17 = 1,360.50 : x
  2. Step 2: Convert to fraction form
    5,058.35/7,587.17 = 1,360.50/x
  3. Step 3: Cross multiply
    5,058.35x = 7,587.17 × 1,360.50
  4. Step 4: Simplify right side
    5,058.35x = 10,322,314.63
  5. Step 5: Solve for x
    x = 10,322,314.63/5,058.35
  6. Step 6: Final answer
    x = 2,040.65

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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.