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Finding the Fourth Proportional to 4,952.01, 7,428.62 and 1,831.48

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Solution

The fourth proportional to 4,952.01, 7,428.62 and 1,831.48 is: 2,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.01 : 7,428.62 = 1,831.48 : x
  2. Step 2: Convert to fraction form
    4,952.01/7,428.62 = 1,831.48/x
  3. Step 3: Cross multiply
    4,952.01x = 7,428.62 × 1,831.48
  4. Step 4: Simplify right side
    4,952.01x = 13,605,368.96
  5. Step 5: Solve for x
    x = 13,605,368.96/4,952.01
  6. Step 6: Final answer
    x = 2,747.44

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1.5x scale

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.