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Finding the Fourth Proportional to 4,763.72, 7,146.06 and 1,685

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Solution

The fourth proportional to 4,763.72, 7,146.06 and 1,685 is: 2,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.72 : 7,146.06 = 1,685 : x
  2. Step 2: Convert to fraction form
    4,763.72/7,146.06 = 1,685/x
  3. Step 3: Cross multiply
    4,763.72x = 7,146.06 × 1,685
  4. Step 4: Simplify right side
    4,763.72x = 12,041,111.10
  5. Step 5: Solve for x
    x = 12,041,111.10/4,763.72
  6. Step 6: Final answer
    x = 2,527.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.