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Finding the Fourth Proportional to 3,883.02, 5,820.86 and 1,284.54

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Solution

The fourth proportional to 3,883.02, 5,820.86 and 1,284.54 is: 1,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.02 : 5,820.86 = 1,284.54 : x
  2. Step 2: Convert to fraction form
    3,883.02/5,820.86 = 1,284.54/x
  3. Step 3: Cross multiply
    3,883.02x = 5,820.86 × 1,284.54
  4. Step 4: Simplify right side
    3,883.02x = 7,477,127.50
  5. Step 5: Solve for x
    x = 7,477,127.50/3,883.02
  6. Step 6: Final answer
    x = 1,925.60

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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.