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Finding the Fourth Proportional to 4,376.64, 6,565.79 and 1,415.88

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Solution

The fourth proportional to 4,376.64, 6,565.79 and 1,415.88 is: 2,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.64 : 6,565.79 = 1,415.88 : x
  2. Step 2: Convert to fraction form
    4,376.64/6,565.79 = 1,415.88/x
  3. Step 3: Cross multiply
    4,376.64x = 6,565.79 × 1,415.88
  4. Step 4: Simplify right side
    4,376.64x = 9,296,370.75
  5. Step 5: Solve for x
    x = 9,296,370.75/4,376.64
  6. Step 6: Final answer
    x = 2,124.09

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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.