Home / 5,746-8,618.46-2,048.08

Finding the Fourth Proportional to 5,746, 8,618.46 and 2,048.08

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Solution

The fourth proportional to 5,746, 8,618.46 and 2,048.08 is: 3,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 8,618.46 = 2,048.08 : x
  2. Step 2: Convert to fraction form
    5,746/8,618.46 = 2,048.08/x
  3. Step 3: Cross multiply
    5,746x = 8,618.46 × 2,048.08
  4. Step 4: Simplify right side
    5,746x = 17,651,295.56
  5. Step 5: Solve for x
    x = 17,651,295.56/5,746
  6. Step 6: Final answer
    x = 3,071.93

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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.