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Finding the Fourth Proportional to 3,831.95, 5,747.24 and 1,058.18

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Solution

The fourth proportional to 3,831.95, 5,747.24 and 1,058.18 is: 1,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.95 : 5,747.24 = 1,058.18 : x
  2. Step 2: Convert to fraction form
    3,831.95/5,747.24 = 1,058.18/x
  3. Step 3: Cross multiply
    3,831.95x = 5,747.24 × 1,058.18
  4. Step 4: Simplify right side
    3,831.95x = 6,081,580.40
  5. Step 5: Solve for x
    x = 6,081,580.40/3,831.95
  6. Step 6: Final answer
    x = 1,587.07

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