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Finding the Fourth Proportional to 3,651.60, 5,473.80 and 1,457.40

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Solution

The fourth proportional to 3,651.60, 5,473.80 and 1,457.40 is: 2,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.60 : 5,473.80 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    3,651.60/5,473.80 = 1,457.40/x
  3. Step 3: Cross multiply
    3,651.60x = 5,473.80 × 1,457.40
  4. Step 4: Simplify right side
    3,651.60x = 7,977,516.12
  5. Step 5: Solve for x
    x = 7,977,516.12/3,651.60
  6. Step 6: Final answer
    x = 2,184.66

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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.