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Finding the Fourth Proportional to 5,746, 8,620.44 and 1,642

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Solution

The fourth proportional to 5,746, 8,620.44 and 1,642 is: 2,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 8,620.44 = 1,642 : x
  2. Step 2: Convert to fraction form
    5,746/8,620.44 = 1,642/x
  3. Step 3: Cross multiply
    5,746x = 8,620.44 × 1,642
  4. Step 4: Simplify right side
    5,746x = 14,154,762.48
  5. Step 5: Solve for x
    x = 14,154,762.48/5,746
  6. Step 6: Final answer
    x = 2,463.41

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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.