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Finding the Fourth Proportional to 4,513.64, 6,783.82 and 4,390.92

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Solution

The fourth proportional to 4,513.64, 6,783.82 and 4,390.92 is: 6,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.64 : 6,783.82 = 4,390.92 : x
  2. Step 2: Convert to fraction form
    4,513.64/6,783.82 = 4,390.92/x
  3. Step 3: Cross multiply
    4,513.64x = 6,783.82 × 4,390.92
  4. Step 4: Simplify right side
    4,513.64x = 29,787,199.94
  5. Step 5: Solve for x
    x = 29,787,199.94/4,513.64
  6. Step 6: Final answer
    x = 6,599.38

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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.