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Finding the Fourth Proportional to 5,007.46, 7,512.25 and 1,887.40

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Solution

The fourth proportional to 5,007.46, 7,512.25 and 1,887.40 is: 2,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.46 : 7,512.25 = 1,887.40 : x
  2. Step 2: Convert to fraction form
    5,007.46/7,512.25 = 1,887.40/x
  3. Step 3: Cross multiply
    5,007.46x = 7,512.25 × 1,887.40
  4. Step 4: Simplify right side
    5,007.46x = 14,178,620.65
  5. Step 5: Solve for x
    x = 14,178,620.65/5,007.46
  6. Step 6: Final answer
    x = 2,831.50

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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.