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Finding the Fourth Proportional to 4,547.67, 6,269.97 and 3,054.43

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Solution

The fourth proportional to 4,547.67, 6,269.97 and 3,054.43 is: 4,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.67 : 6,269.97 = 3,054.43 : x
  2. Step 2: Convert to fraction form
    4,547.67/6,269.97 = 3,054.43/x
  3. Step 3: Cross multiply
    4,547.67x = 6,269.97 × 3,054.43
  4. Step 4: Simplify right side
    4,547.67x = 19,151,184.47
  5. Step 5: Solve for x
    x = 19,151,184.47/4,547.67
  6. Step 6: Final answer
    x = 4,211.21

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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.