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Finding the Fourth Proportional to 5,829.76, 8,747.22 and 3,055.77

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Solution

The fourth proportional to 5,829.76, 8,747.22 and 3,055.77 is: 4,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.76 : 8,747.22 = 3,055.77 : x
  2. Step 2: Convert to fraction form
    5,829.76/8,747.22 = 3,055.77/x
  3. Step 3: Cross multiply
    5,829.76x = 8,747.22 × 3,055.77
  4. Step 4: Simplify right side
    5,829.76x = 26,729,492.46
  5. Step 5: Solve for x
    x = 26,729,492.46/5,829.76
  6. Step 6: Final answer
    x = 4,585.01

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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.