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Finding the Fourth Proportional to 4,741.46, 7,106.25 and 3,649.94

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Solution

The fourth proportional to 4,741.46, 7,106.25 and 3,649.94 is: 5,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.46 : 7,106.25 = 3,649.94 : x
  2. Step 2: Convert to fraction form
    4,741.46/7,106.25 = 3,649.94/x
  3. Step 3: Cross multiply
    4,741.46x = 7,106.25 × 3,649.94
  4. Step 4: Simplify right side
    4,741.46x = 25,937,386.13
  5. Step 5: Solve for x
    x = 25,937,386.13/4,741.46
  6. Step 6: Final answer
    x = 5,470.34

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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.