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Finding the Fourth Proportional to 4,602.36, 6,890.58 and 3,502.20

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Solution

The fourth proportional to 4,602.36, 6,890.58 and 3,502.20 is: 5,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.36 : 6,890.58 = 3,502.20 : x
  2. Step 2: Convert to fraction form
    4,602.36/6,890.58 = 3,502.20/x
  3. Step 3: Cross multiply
    4,602.36x = 6,890.58 × 3,502.20
  4. Step 4: Simplify right side
    4,602.36x = 24,132,189.28
  5. Step 5: Solve for x
    x = 24,132,189.28/4,602.36
  6. Step 6: Final answer
    x = 5,243.44

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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.