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Finding the Fourth Proportional to 4,645.90, 6,394.65 and 4,202.86

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Solution

The fourth proportional to 4,645.90, 6,394.65 and 4,202.86 is: 5,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.90 : 6,394.65 = 4,202.86 : x
  2. Step 2: Convert to fraction form
    4,645.90/6,394.65 = 4,202.86/x
  3. Step 3: Cross multiply
    4,645.90x = 6,394.65 × 4,202.86
  4. Step 4: Simplify right side
    4,645.90x = 26,875,818.70
  5. Step 5: Solve for x
    x = 26,875,818.70/4,645.90
  6. Step 6: Final answer
    x = 5,784.85

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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.