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Finding the Fourth Proportional to 4,328.41, 6,491.17 and 1,406

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Solution

The fourth proportional to 4,328.41, 6,491.17 and 1,406 is: 2,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.41 : 6,491.17 = 1,406 : x
  2. Step 2: Convert to fraction form
    4,328.41/6,491.17 = 1,406/x
  3. Step 3: Cross multiply
    4,328.41x = 6,491.17 × 1,406
  4. Step 4: Simplify right side
    4,328.41x = 9,126,585.02
  5. Step 5: Solve for x
    x = 9,126,585.02/4,328.41
  6. Step 6: Final answer
    x = 2,108.53

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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.