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Finding the Fourth Proportional to 3,820.77, 5,730.02 and 1,152.25

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Solution

The fourth proportional to 3,820.77, 5,730.02 and 1,152.25 is: 1,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.77 : 5,730.02 = 1,152.25 : x
  2. Step 2: Convert to fraction form
    3,820.77/5,730.02 = 1,152.25/x
  3. Step 3: Cross multiply
    3,820.77x = 5,730.02 × 1,152.25
  4. Step 4: Simplify right side
    3,820.77x = 6,602,415.55
  5. Step 5: Solve for x
    x = 6,602,415.55/3,820.77
  6. Step 6: Final answer
    x = 1,728.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.