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Finding the Fourth Proportional to 4,185.40, 5,776.03 and 2,506.49

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Solution

The fourth proportional to 4,185.40, 5,776.03 and 2,506.49 is: 3,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.40 : 5,776.03 = 2,506.49 : x
  2. Step 2: Convert to fraction form
    4,185.40/5,776.03 = 2,506.49/x
  3. Step 3: Cross multiply
    4,185.40x = 5,776.03 × 2,506.49
  4. Step 4: Simplify right side
    4,185.40x = 14,477,561.43
  5. Step 5: Solve for x
    x = 14,477,561.43/4,185.40
  6. Step 6: Final answer
    x = 3,459.06

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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.