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Finding the Fourth Proportional to 3,225.84, 4,838.76 and 2,859.72

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Solution

The fourth proportional to 3,225.84, 4,838.76 and 2,859.72 is: 4,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.84 : 4,838.76 = 2,859.72 : x
  2. Step 2: Convert to fraction form
    3,225.84/4,838.76 = 2,859.72/x
  3. Step 3: Cross multiply
    3,225.84x = 4,838.76 × 2,859.72
  4. Step 4: Simplify right side
    3,225.84x = 13,837,498.75
  5. Step 5: Solve for x
    x = 13,837,498.75/3,225.84
  6. Step 6: Final answer
    x = 4,289.58

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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.