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Finding the Fourth Proportional to 4,176.50, 5,763.76 and 2,313.50

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Solution

The fourth proportional to 4,176.50, 5,763.76 and 2,313.50 is: 3,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.50 : 5,763.76 = 2,313.50 : x
  2. Step 2: Convert to fraction form
    4,176.50/5,763.76 = 2,313.50/x
  3. Step 3: Cross multiply
    4,176.50x = 5,763.76 × 2,313.50
  4. Step 4: Simplify right side
    4,176.50x = 13,334,458.76
  5. Step 5: Solve for x
    x = 13,334,458.76/4,176.50
  6. Step 6: Final answer
    x = 3,192.74

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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.