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Finding the Fourth Proportional to 5,801.80, 8,724.30 and 4,851.40

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Solution

The fourth proportional to 5,801.80, 8,724.30 and 4,851.40 is: 7,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.80 : 8,724.30 = 4,851.40 : x
  2. Step 2: Convert to fraction form
    5,801.80/8,724.30 = 4,851.40/x
  3. Step 3: Cross multiply
    5,801.80x = 8,724.30 × 4,851.40
  4. Step 4: Simplify right side
    5,801.80x = 42,325,069.02
  5. Step 5: Solve for x
    x = 42,325,069.02/5,801.80
  6. Step 6: Final answer
    x = 7,295.16

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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.