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Finding the Fourth Proportional to 4,460.52, 6,681.70 and 2,113.41

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Solution

The fourth proportional to 4,460.52, 6,681.70 and 2,113.41 is: 3,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.52 : 6,681.70 = 2,113.41 : x
  2. Step 2: Convert to fraction form
    4,460.52/6,681.70 = 2,113.41/x
  3. Step 3: Cross multiply
    4,460.52x = 6,681.70 × 2,113.41
  4. Step 4: Simplify right side
    4,460.52x = 14,121,161.03
  5. Step 5: Solve for x
    x = 14,121,161.03/4,460.52
  6. Step 6: Final answer
    x = 3,165.81

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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.