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Finding the Fourth Proportional to 5,632.47, 8,448.63 and 1,884.50

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Solution

The fourth proportional to 5,632.47, 8,448.63 and 1,884.50 is: 2,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.47 : 8,448.63 = 1,884.50 : x
  2. Step 2: Convert to fraction form
    5,632.47/8,448.63 = 1,884.50/x
  3. Step 3: Cross multiply
    5,632.47x = 8,448.63 × 1,884.50
  4. Step 4: Simplify right side
    5,632.47x = 15,921,400.99
  5. Step 5: Solve for x
    x = 15,921,400.99/5,632.47
  6. Step 6: Final answer
    x = 2,826.72

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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.