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Finding the Fourth Proportional to 3,006.72, 4,506.03 and 2,357.64

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Solution

The fourth proportional to 3,006.72, 4,506.03 and 2,357.64 is: 3,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.72 : 4,506.03 = 2,357.64 : x
  2. Step 2: Convert to fraction form
    3,006.72/4,506.03 = 2,357.64/x
  3. Step 3: Cross multiply
    3,006.72x = 4,506.03 × 2,357.64
  4. Step 4: Simplify right side
    3,006.72x = 10,623,596.57
  5. Step 5: Solve for x
    x = 10,623,596.57/3,006.72
  6. Step 6: Final answer
    x = 3,533.28

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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.