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Finding the Fourth Proportional to 5,478.32, 8,216.72 and 1,780.59

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Solution

The fourth proportional to 5,478.32, 8,216.72 and 1,780.59 is: 2,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.32 : 8,216.72 = 1,780.59 : x
  2. Step 2: Convert to fraction form
    5,478.32/8,216.72 = 1,780.59/x
  3. Step 3: Cross multiply
    5,478.32x = 8,216.72 × 1,780.59
  4. Step 4: Simplify right side
    5,478.32x = 14,630,600.56
  5. Step 5: Solve for x
    x = 14,630,600.56/5,478.32
  6. Step 6: Final answer
    x = 2,670.64

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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.