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Finding the Fourth Proportional to 3,225.70, 4,838.55 and 2,457.70

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Solution

The fourth proportional to 3,225.70, 4,838.55 and 2,457.70 is: 3,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.70 : 4,838.55 = 2,457.70 : x
  2. Step 2: Convert to fraction form
    3,225.70/4,838.55 = 2,457.70/x
  3. Step 3: Cross multiply
    3,225.70x = 4,838.55 × 2,457.70
  4. Step 4: Simplify right side
    3,225.70x = 11,891,704.34
  5. Step 5: Solve for x
    x = 11,891,704.34/3,225.70
  6. Step 6: Final answer
    x = 3,686.55

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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.