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Finding the Fourth Proportional to 4,689.36, 7,035.23 and 1,402.45

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Solution

The fourth proportional to 4,689.36, 7,035.23 and 1,402.45 is: 2,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.36 : 7,035.23 = 1,402.45 : x
  2. Step 2: Convert to fraction form
    4,689.36/7,035.23 = 1,402.45/x
  3. Step 3: Cross multiply
    4,689.36x = 7,035.23 × 1,402.45
  4. Step 4: Simplify right side
    4,689.36x = 9,866,544.23
  5. Step 5: Solve for x
    x = 9,866,544.23/4,689.36
  6. Step 6: Final answer
    x = 2,104.03

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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.