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Finding the Fourth Proportional to 4,531.41, 6,798.26 and 1,411.49

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Solution

The fourth proportional to 4,531.41, 6,798.26 and 1,411.49 is: 2,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.41 : 6,798.26 = 1,411.49 : x
  2. Step 2: Convert to fraction form
    4,531.41/6,798.26 = 1,411.49/x
  3. Step 3: Cross multiply
    4,531.41x = 6,798.26 × 1,411.49
  4. Step 4: Simplify right side
    4,531.41x = 9,595,696.53
  5. Step 5: Solve for x
    x = 9,595,696.53/4,531.41
  6. Step 6: Final answer
    x = 2,117.60

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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.