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Finding the Fourth Proportional to 5,802.44, 8,703.68 and 1,642.91

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Solution

The fourth proportional to 5,802.44, 8,703.68 and 1,642.91 is: 2,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.44 : 8,703.68 = 1,642.91 : x
  2. Step 2: Convert to fraction form
    5,802.44/8,703.68 = 1,642.91/x
  3. Step 3: Cross multiply
    5,802.44x = 8,703.68 × 1,642.91
  4. Step 4: Simplify right side
    5,802.44x = 14,299,311.18
  5. Step 5: Solve for x
    x = 14,299,311.18/5,802.44
  6. Step 6: Final answer
    x = 2,464.36

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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.