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Finding the Fourth Proportional to 4,639.78, 6,415.23 and 4,056.58

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Solution

The fourth proportional to 4,639.78, 6,415.23 and 4,056.58 is: 5,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.78 : 6,415.23 = 4,056.58 : x
  2. Step 2: Convert to fraction form
    4,639.78/6,415.23 = 4,056.58/x
  3. Step 3: Cross multiply
    4,639.78x = 6,415.23 × 4,056.58
  4. Step 4: Simplify right side
    4,639.78x = 26,023,893.71
  5. Step 5: Solve for x
    x = 26,023,893.71/4,639.78
  6. Step 6: Final answer
    x = 5,608.86

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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.