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Finding the Fourth Proportional to 4,645.48, 6,407.84 and 3,052.24

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Solution

The fourth proportional to 4,645.48, 6,407.84 and 3,052.24 is: 4,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.48 : 6,407.84 = 3,052.24 : x
  2. Step 2: Convert to fraction form
    4,645.48/6,407.84 = 3,052.24/x
  3. Step 3: Cross multiply
    4,645.48x = 6,407.84 × 3,052.24
  4. Step 4: Simplify right side
    4,645.48x = 19,558,265.56
  5. Step 5: Solve for x
    x = 19,558,265.56/4,645.48
  6. Step 6: Final answer
    x = 4,210.17

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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.