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Finding the Fourth Proportional to 4,711.22, 7,065.36 and 1,632.50

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Solution

The fourth proportional to 4,711.22, 7,065.36 and 1,632.50 is: 2,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.22 : 7,065.36 = 1,632.50 : x
  2. Step 2: Convert to fraction form
    4,711.22/7,065.36 = 1,632.50/x
  3. Step 3: Cross multiply
    4,711.22x = 7,065.36 × 1,632.50
  4. Step 4: Simplify right side
    4,711.22x = 11,534,200.20
  5. Step 5: Solve for x
    x = 11,534,200.20/4,711.22
  6. Step 6: Final answer
    x = 2,448.24

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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.