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Finding the Fourth Proportional to 4,806.46, 7,210.76 and 1,475.17

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Solution

The fourth proportional to 4,806.46, 7,210.76 and 1,475.17 is: 2,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.46 : 7,210.76 = 1,475.17 : x
  2. Step 2: Convert to fraction form
    4,806.46/7,210.76 = 1,475.17/x
  3. Step 3: Cross multiply
    4,806.46x = 7,210.76 × 1,475.17
  4. Step 4: Simplify right side
    4,806.46x = 10,637,096.83
  5. Step 5: Solve for x
    x = 10,637,096.83/4,806.46
  6. Step 6: Final answer
    x = 2,213.08

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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.