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Finding the Fourth Proportional to 4,665.28, 6,448.36 and 4,101.52

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Solution

The fourth proportional to 4,665.28, 6,448.36 and 4,101.52 is: 5,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.28 : 6,448.36 = 4,101.52 : x
  2. Step 2: Convert to fraction form
    4,665.28/6,448.36 = 4,101.52/x
  3. Step 3: Cross multiply
    4,665.28x = 6,448.36 × 4,101.52
  4. Step 4: Simplify right side
    4,665.28x = 26,448,077.51
  5. Step 5: Solve for x
    x = 26,448,077.51/4,665.28
  6. Step 6: Final answer
    x = 5,669.13

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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.