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Finding the Fourth Proportional to 4,570.80, 6,870.60 and 4,225.20

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Solution

The fourth proportional to 4,570.80, 6,870.60 and 4,225.20 is: 6,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.80 : 6,870.60 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    4,570.80/6,870.60 = 4,225.20/x
  3. Step 3: Cross multiply
    4,570.80x = 6,870.60 × 4,225.20
  4. Step 4: Simplify right side
    4,570.80x = 29,029,659.12
  5. Step 5: Solve for x
    x = 29,029,659.12/4,570.80
  6. Step 6: Final answer
    x = 6,351.11

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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.