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Finding the Fourth Proportional to 4,302.65, 6,443.04 and 3,005.03

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Solution

The fourth proportional to 4,302.65, 6,443.04 and 3,005.03 is: 4,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.65 : 6,443.04 = 3,005.03 : x
  2. Step 2: Convert to fraction form
    4,302.65/6,443.04 = 3,005.03/x
  3. Step 3: Cross multiply
    4,302.65x = 6,443.04 × 3,005.03
  4. Step 4: Simplify right side
    4,302.65x = 19,361,528.49
  5. Step 5: Solve for x
    x = 19,361,528.49/4,302.65
  6. Step 6: Final answer
    x = 4,499.91

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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.