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Finding the Fourth Proportional to 3,293.77, 4,941.47 and 3,023.77

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Solution

The fourth proportional to 3,293.77, 4,941.47 and 3,023.77 is: 4,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.77 : 4,941.47 = 3,023.77 : x
  2. Step 2: Convert to fraction form
    3,293.77/4,941.47 = 3,023.77/x
  3. Step 3: Cross multiply
    3,293.77x = 4,941.47 × 3,023.77
  4. Step 4: Simplify right side
    3,293.77x = 14,941,868.74
  5. Step 5: Solve for x
    x = 14,941,868.74/3,293.77
  6. Step 6: Final answer
    x = 4,536.40

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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.