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Finding the Fourth Proportional to 5,409.85, 7,465.65 and 3,020.05

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Solution

The fourth proportional to 5,409.85, 7,465.65 and 3,020.05 is: 4,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.85 : 7,465.65 = 3,020.05 : x
  2. Step 2: Convert to fraction form
    5,409.85/7,465.65 = 3,020.05/x
  3. Step 3: Cross multiply
    5,409.85x = 7,465.65 × 3,020.05
  4. Step 4: Simplify right side
    5,409.85x = 22,546,636.28
  5. Step 5: Solve for x
    x = 22,546,636.28/5,409.85
  6. Step 6: Final answer
    x = 4,167.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.