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Finding the Fourth Proportional to 4,578, 6,317.64 and 2,482.13

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Solution

The fourth proportional to 4,578, 6,317.64 and 2,482.13 is: 3,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578 : 6,317.64 = 2,482.13 : x
  2. Step 2: Convert to fraction form
    4,578/6,317.64 = 2,482.13/x
  3. Step 3: Cross multiply
    4,578x = 6,317.64 × 2,482.13
  4. Step 4: Simplify right side
    4,578x = 15,681,172.19
  5. Step 5: Solve for x
    x = 15,681,172.19/4,578
  6. Step 6: Final answer
    x = 3,425.33

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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.