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Finding the Fourth Proportional to 4,483.47, 6,725.34 and 1,561.80

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Solution

The fourth proportional to 4,483.47, 6,725.34 and 1,561.80 is: 2,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.47 : 6,725.34 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    4,483.47/6,725.34 = 1,561.80/x
  3. Step 3: Cross multiply
    4,483.47x = 6,725.34 × 1,561.80
  4. Step 4: Simplify right side
    4,483.47x = 10,503,636.01
  5. Step 5: Solve for x
    x = 10,503,636.01/4,483.47
  6. Step 6: Final answer
    x = 2,342.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.