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Finding the Fourth Proportional to 5,847.24, 8,754.90 and 4,870.20

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Solution

The fourth proportional to 5,847.24, 8,754.90 and 4,870.20 is: 7,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.24 : 8,754.90 = 4,870.20 : x
  2. Step 2: Convert to fraction form
    5,847.24/8,754.90 = 4,870.20/x
  3. Step 3: Cross multiply
    5,847.24x = 8,754.90 × 4,870.20
  4. Step 4: Simplify right side
    5,847.24x = 42,638,113.98
  5. Step 5: Solve for x
    x = 42,638,113.98/5,847.24
  6. Step 6: Final answer
    x = 7,292.01

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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.