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Finding the Fourth Proportional to 3,095.97, 4,645.55 and 1,709.05

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Solution

The fourth proportional to 3,095.97, 4,645.55 and 1,709.05 is: 2,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.97 : 4,645.55 = 1,709.05 : x
  2. Step 2: Convert to fraction form
    3,095.97/4,645.55 = 1,709.05/x
  3. Step 3: Cross multiply
    3,095.97x = 4,645.55 × 1,709.05
  4. Step 4: Simplify right side
    3,095.97x = 7,939,478.60
  5. Step 5: Solve for x
    x = 7,939,478.60/3,095.97
  6. Step 6: Final answer
    x = 2,564.45

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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.