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Finding the Fourth Proportional to 4,298.58, 6,447.78 and 1,376.64

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Solution

The fourth proportional to 4,298.58, 6,447.78 and 1,376.64 is: 2,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.58 : 6,447.78 = 1,376.64 : x
  2. Step 2: Convert to fraction form
    4,298.58/6,447.78 = 1,376.64/x
  3. Step 3: Cross multiply
    4,298.58x = 6,447.78 × 1,376.64
  4. Step 4: Simplify right side
    4,298.58x = 8,876,271.86
  5. Step 5: Solve for x
    x = 8,876,271.86/4,298.58
  6. Step 6: Final answer
    x = 2,064.93

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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.