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Finding the Fourth Proportional to 4,547.58, 6,821.37 and 4,197.66

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Solution

The fourth proportional to 4,547.58, 6,821.37 and 4,197.66 is: 6,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.58 : 6,821.37 = 4,197.66 : x
  2. Step 2: Convert to fraction form
    4,547.58/6,821.37 = 4,197.66/x
  3. Step 3: Cross multiply
    4,547.58x = 6,821.37 × 4,197.66
  4. Step 4: Simplify right side
    4,547.58x = 28,633,791.99
  5. Step 5: Solve for x
    x = 28,633,791.99/4,547.58
  6. Step 6: Final answer
    x = 6,296.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.