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Finding the Fourth Proportional to 4,763.25, 7,145.19 and 1,300.50

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Solution

The fourth proportional to 4,763.25, 7,145.19 and 1,300.50 is: 1,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.25 : 7,145.19 = 1,300.50 : x
  2. Step 2: Convert to fraction form
    4,763.25/7,145.19 = 1,300.50/x
  3. Step 3: Cross multiply
    4,763.25x = 7,145.19 × 1,300.50
  4. Step 4: Simplify right side
    4,763.25x = 9,292,319.60
  5. Step 5: Solve for x
    x = 9,292,319.60/4,763.25
  6. Step 6: Final answer
    x = 1,950.84

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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.