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Finding the Fourth Proportional to 4,806.64, 7,210.03 and 1,522.04

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Solution

The fourth proportional to 4,806.64, 7,210.03 and 1,522.04 is: 2,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.64 : 7,210.03 = 1,522.04 : x
  2. Step 2: Convert to fraction form
    4,806.64/7,210.03 = 1,522.04/x
  3. Step 3: Cross multiply
    4,806.64x = 7,210.03 × 1,522.04
  4. Step 4: Simplify right side
    4,806.64x = 10,973,939.84
  5. Step 5: Solve for x
    x = 10,973,939.84/4,806.64
  6. Step 6: Final answer
    x = 2,283.08

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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.