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Finding the Fourth Proportional to 3,894.76, 5,842.37 and 973.09

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Solution

The fourth proportional to 3,894.76, 5,842.37 and 973.09 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.76 : 5,842.37 = 973.09 : x
  2. Step 2: Convert to fraction form
    3,894.76/5,842.37 = 973.09/x
  3. Step 3: Cross multiply
    3,894.76x = 5,842.37 × 973.09
  4. Step 4: Simplify right side
    3,894.76x = 5,685,151.82
  5. Step 5: Solve for x
    x = 5,685,151.82/3,894.76
  6. Step 6: Final answer
    x = 1,459.69

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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.