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Finding the Fourth Proportional to 4,689.60, 7,028.93 and 2,087.07

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Solution

The fourth proportional to 4,689.60, 7,028.93 and 2,087.07 is: 3,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.60 : 7,028.93 = 2,087.07 : x
  2. Step 2: Convert to fraction form
    4,689.60/7,028.93 = 2,087.07/x
  3. Step 3: Cross multiply
    4,689.60x = 7,028.93 × 2,087.07
  4. Step 4: Simplify right side
    4,689.60x = 14,669,858.50
  5. Step 5: Solve for x
    x = 14,669,858.50/4,689.60
  6. Step 6: Final answer
    x = 3,128.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.