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Finding the Fourth Proportional to 3,742.48, 5,613.72 and 1,276.03

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Solution

The fourth proportional to 3,742.48, 5,613.72 and 1,276.03 is: 1,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.48 : 5,613.72 = 1,276.03 : x
  2. Step 2: Convert to fraction form
    3,742.48/5,613.72 = 1,276.03/x
  3. Step 3: Cross multiply
    3,742.48x = 5,613.72 × 1,276.03
  4. Step 4: Simplify right side
    3,742.48x = 7,163,275.13
  5. Step 5: Solve for x
    x = 7,163,275.13/3,742.48
  6. Step 6: Final answer
    x = 1,914.05

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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.