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Finding the Fourth Proportional to 3,172.47, 4,378.17 and 1,756.16

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Solution

The fourth proportional to 3,172.47, 4,378.17 and 1,756.16 is: 2,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.47 : 4,378.17 = 1,756.16 : x
  2. Step 2: Convert to fraction form
    3,172.47/4,378.17 = 1,756.16/x
  3. Step 3: Cross multiply
    3,172.47x = 4,378.17 × 1,756.16
  4. Step 4: Simplify right side
    3,172.47x = 7,688,745.14
  5. Step 5: Solve for x
    x = 7,688,745.14/3,172.47
  6. Step 6: Final answer
    x = 2,423.58

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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.