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Finding the Fourth Proportional to 3,831.98, 5,746.95 and 1,058.00

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Solution

The fourth proportional to 3,831.98, 5,746.95 and 1,058.00 is: 1,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.98 : 5,746.95 = 1,058.00 : x
  2. Step 2: Convert to fraction form
    3,831.98/5,746.95 = 1,058.00/x
  3. Step 3: Cross multiply
    3,831.98x = 5,746.95 × 1,058.00
  4. Step 4: Simplify right side
    3,831.98x = 6,080,244.37
  5. Step 5: Solve for x
    x = 6,080,244.37/3,831.98
  6. Step 6: Final answer
    x = 1,586.71

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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.