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Finding the Fourth Proportional to 3,217.55, 4,828.10 and 1,574.10

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Solution

The fourth proportional to 3,217.55, 4,828.10 and 1,574.10 is: 2,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.55 : 4,828.10 = 1,574.10 : x
  2. Step 2: Convert to fraction form
    3,217.55/4,828.10 = 1,574.10/x
  3. Step 3: Cross multiply
    3,217.55x = 4,828.10 × 1,574.10
  4. Step 4: Simplify right side
    3,217.55x = 7,599,904.34
  5. Step 5: Solve for x
    x = 7,599,904.34/3,217.55
  6. Step 6: Final answer
    x = 2,362.02

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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.