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Finding the Fourth Proportional to 6,448.02, 8,897.67 and 3,653.52

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Solution

The fourth proportional to 6,448.02, 8,897.67 and 3,653.52 is: 5,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.02 : 8,897.67 = 3,653.52 : x
  2. Step 2: Convert to fraction form
    6,448.02/8,897.67 = 3,653.52/x
  3. Step 3: Cross multiply
    6,448.02x = 8,897.67 × 3,653.52
  4. Step 4: Simplify right side
    6,448.02x = 32,507,815.30
  5. Step 5: Solve for x
    x = 32,507,815.30/6,448.02
  6. Step 6: Final answer
    x = 5,041.52

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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.