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Finding the Fourth Proportional to 5,530.24, 7,626.72 and 3,664

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Solution

The fourth proportional to 5,530.24, 7,626.72 and 3,664 is: 5,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.24 : 7,626.72 = 3,664 : x
  2. Step 2: Convert to fraction form
    5,530.24/7,626.72 = 3,664/x
  3. Step 3: Cross multiply
    5,530.24x = 7,626.72 × 3,664
  4. Step 4: Simplify right side
    5,530.24x = 27,944,302.08
  5. Step 5: Solve for x
    x = 27,944,302.08/5,530.24
  6. Step 6: Final answer
    x = 5,053.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.