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Finding the Fourth Proportional to 5,980.48, 8,972.64 and 1,821.29

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Solution

The fourth proportional to 5,980.48, 8,972.64 and 1,821.29 is: 2,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.48 : 8,972.64 = 1,821.29 : x
  2. Step 2: Convert to fraction form
    5,980.48/8,972.64 = 1,821.29/x
  3. Step 3: Cross multiply
    5,980.48x = 8,972.64 × 1,821.29
  4. Step 4: Simplify right side
    5,980.48x = 16,341,779.51
  5. Step 5: Solve for x
    x = 16,341,779.51/5,980.48
  6. Step 6: Final answer
    x = 2,732.52

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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.