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Finding the Fourth Proportional to 3,830.52, 5,285.64 and 2,394.24

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Solution

The fourth proportional to 3,830.52, 5,285.64 and 2,394.24 is: 3,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.52 : 5,285.64 = 2,394.24 : x
  2. Step 2: Convert to fraction form
    3,830.52/5,285.64 = 2,394.24/x
  3. Step 3: Cross multiply
    3,830.52x = 5,285.64 × 2,394.24
  4. Step 4: Simplify right side
    3,830.52x = 12,655,090.71
  5. Step 5: Solve for x
    x = 12,655,090.71/3,830.52
  6. Step 6: Final answer
    x = 3,303.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.