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Finding the Fourth Proportional to 4,569.39, 6,314.28 and 3,448.32

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Solution

The fourth proportional to 4,569.39, 6,314.28 and 3,448.32 is: 4,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.39 : 6,314.28 = 3,448.32 : x
  2. Step 2: Convert to fraction form
    4,569.39/6,314.28 = 3,448.32/x
  3. Step 3: Cross multiply
    4,569.39x = 6,314.28 × 3,448.32
  4. Step 4: Simplify right side
    4,569.39x = 21,773,666.62
  5. Step 5: Solve for x
    x = 21,773,666.62/4,569.39
  6. Step 6: Final answer
    x = 4,765.12

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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.