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Finding the Fourth Proportional to 4,536.40, 6,802.80 and 1,613.20

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Solution

The fourth proportional to 4,536.40, 6,802.80 and 1,613.20 is: 2,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.40 : 6,802.80 = 1,613.20 : x
  2. Step 2: Convert to fraction form
    4,536.40/6,802.80 = 1,613.20/x
  3. Step 3: Cross multiply
    4,536.40x = 6,802.80 × 1,613.20
  4. Step 4: Simplify right side
    4,536.40x = 10,974,276.96
  5. Step 5: Solve for x
    x = 10,974,276.96/4,536.40
  6. Step 6: Final answer
    x = 2,419.16

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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.