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Finding the Fourth Proportional to 4,058.39, 6,083.93 and 1,459.50

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Solution

The fourth proportional to 4,058.39, 6,083.93 and 1,459.50 is: 2,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.39 : 6,083.93 = 1,459.50 : x
  2. Step 2: Convert to fraction form
    4,058.39/6,083.93 = 1,459.50/x
  3. Step 3: Cross multiply
    4,058.39x = 6,083.93 × 1,459.50
  4. Step 4: Simplify right side
    4,058.39x = 8,879,495.84
  5. Step 5: Solve for x
    x = 8,879,495.84/4,058.39
  6. Step 6: Final answer
    x = 2,187.94

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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.