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Finding the Fourth Proportional to 3,172.54, 4,378.05 and 1,756.20

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Solution

The fourth proportional to 3,172.54, 4,378.05 and 1,756.20 is: 2,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.54 : 4,378.05 = 1,756.20 : x
  2. Step 2: Convert to fraction form
    3,172.54/4,378.05 = 1,756.20/x
  3. Step 3: Cross multiply
    3,172.54x = 4,378.05 × 1,756.20
  4. Step 4: Simplify right side
    3,172.54x = 7,688,724.86
  5. Step 5: Solve for x
    x = 7,688,724.86/3,172.54
  6. Step 6: Final answer
    x = 2,423.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.