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Finding the Fourth Proportional to 3,172.58, 4,378.13 and 1,756.35

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Solution

The fourth proportional to 3,172.58, 4,378.13 and 1,756.35 is: 2,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.58 : 4,378.13 = 1,756.35 : x
  2. Step 2: Convert to fraction form
    3,172.58/4,378.13 = 1,756.35/x
  3. Step 3: Cross multiply
    3,172.58x = 4,378.13 × 1,756.35
  4. Step 4: Simplify right side
    3,172.58x = 7,689,519.84
  5. Step 5: Solve for x
    x = 7,689,519.84/3,172.58
  6. Step 6: Final answer
    x = 2,423.75

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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.