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Finding the Fourth Proportional to 4,952.47, 7,426.08 and 1,831.89

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Solution

The fourth proportional to 4,952.47, 7,426.08 and 1,831.89 is: 2,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.47 : 7,426.08 = 1,831.89 : x
  2. Step 2: Convert to fraction form
    4,952.47/7,426.08 = 1,831.89/x
  3. Step 3: Cross multiply
    4,952.47x = 7,426.08 × 1,831.89
  4. Step 4: Simplify right side
    4,952.47x = 13,603,768.65
  5. Step 5: Solve for x
    x = 13,603,768.65/4,952.47
  6. Step 6: Final answer
    x = 2,746.87

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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.