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Finding the Fourth Proportional to 3,894.90, 5,842.49 and 973.37

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Solution

The fourth proportional to 3,894.90, 5,842.49 and 973.37 is: 1,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.90 : 5,842.49 = 973.37 : x
  2. Step 2: Convert to fraction form
    3,894.90/5,842.49 = 973.37/x
  3. Step 3: Cross multiply
    3,894.90x = 5,842.49 × 973.37
  4. Step 4: Simplify right side
    3,894.90x = 5,686,870.41
  5. Step 5: Solve for x
    x = 5,686,870.41/3,894.90
  6. Step 6: Final answer
    x = 1,460.08

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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.