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Finding the Fourth Proportional to 5,930.01, 8,894.25 and 1,547.82

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Solution

The fourth proportional to 5,930.01, 8,894.25 and 1,547.82 is: 2,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.01 : 8,894.25 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    5,930.01/8,894.25 = 1,547.82/x
  3. Step 3: Cross multiply
    5,930.01x = 8,894.25 × 1,547.82
  4. Step 4: Simplify right side
    5,930.01x = 13,766,698.04
  5. Step 5: Solve for x
    x = 13,766,698.04/5,930.01
  6. Step 6: Final answer
    x = 2,321.53

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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.