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Finding the Fourth Proportional to 5,801.84, 8,701.96 and 1,642.16

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Solution

The fourth proportional to 5,801.84, 8,701.96 and 1,642.16 is: 2,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.84 : 8,701.96 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    5,801.84/8,701.96 = 1,642.16/x
  3. Step 3: Cross multiply
    5,801.84x = 8,701.96 × 1,642.16
  4. Step 4: Simplify right side
    5,801.84x = 14,290,010.63
  5. Step 5: Solve for x
    x = 14,290,010.63/5,801.84
  6. Step 6: Final answer
    x = 2,463.01

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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.