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Finding the Fourth Proportional to 4,176.17, 5,763.03 and 2,407.67

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Solution

The fourth proportional to 4,176.17, 5,763.03 and 2,407.67 is: 3,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.17 : 5,763.03 = 2,407.67 : x
  2. Step 2: Convert to fraction form
    4,176.17/5,763.03 = 2,407.67/x
  3. Step 3: Cross multiply
    4,176.17x = 5,763.03 × 2,407.67
  4. Step 4: Simplify right side
    4,176.17x = 13,875,474.44
  5. Step 5: Solve for x
    x = 13,875,474.44/4,176.17
  6. Step 6: Final answer
    x = 3,322.54

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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.