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Finding the Fourth Proportional to 3,904.46, 5,386.35 and 2,247.50

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Solution

The fourth proportional to 3,904.46, 5,386.35 and 2,247.50 is: 3,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.46 : 5,386.35 = 2,247.50 : x
  2. Step 2: Convert to fraction form
    3,904.46/5,386.35 = 2,247.50/x
  3. Step 3: Cross multiply
    3,904.46x = 5,386.35 × 2,247.50
  4. Step 4: Simplify right side
    3,904.46x = 12,105,821.63
  5. Step 5: Solve for x
    x = 12,105,821.63/3,904.46
  6. Step 6: Final answer
    x = 3,100.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.