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Finding the Fourth Proportional to 3,172.55, 4,378.06 and 1,756.24

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Solution

The fourth proportional to 3,172.55, 4,378.06 and 1,756.24 is: 2,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.55 : 4,378.06 = 1,756.24 : x
  2. Step 2: Convert to fraction form
    3,172.55/4,378.06 = 1,756.24/x
  3. Step 3: Cross multiply
    3,172.55x = 4,378.06 × 1,756.24
  4. Step 4: Simplify right side
    3,172.55x = 7,688,927.66
  5. Step 5: Solve for x
    x = 7,688,927.66/3,172.55
  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.