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Finding the Fourth Proportional to 4,205.64, 6,308.12 and 1,283.76

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Solution

The fourth proportional to 4,205.64, 6,308.12 and 1,283.76 is: 1,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.64 : 6,308.12 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    4,205.64/6,308.12 = 1,283.76/x
  3. Step 3: Cross multiply
    4,205.64x = 6,308.12 × 1,283.76
  4. Step 4: Simplify right side
    4,205.64x = 8,098,112.13
  5. Step 5: Solve for x
    x = 8,098,112.13/4,205.64
  6. Step 6: Final answer
    x = 1,925.54

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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.