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Finding the Fourth Proportional to 5,074.26, 7,605 and 2,300.10

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Solution

The fourth proportional to 5,074.26, 7,605 and 2,300.10 is: 3,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.26 : 7,605 = 2,300.10 : x
  2. Step 2: Convert to fraction form
    5,074.26/7,605 = 2,300.10/x
  3. Step 3: Cross multiply
    5,074.26x = 7,605 × 2,300.10
  4. Step 4: Simplify right side
    5,074.26x = 17,492,260.50
  5. Step 5: Solve for x
    x = 17,492,260.50/5,074.26
  6. Step 6: Final answer
    x = 3,447.25

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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.