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Finding the Fourth Proportional to 4,522.32, 6,783.72 and 1,404.48

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Solution

The fourth proportional to 4,522.32, 6,783.72 and 1,404.48 is: 2,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.32 : 6,783.72 = 1,404.48 : x
  2. Step 2: Convert to fraction form
    4,522.32/6,783.72 = 1,404.48/x
  3. Step 3: Cross multiply
    4,522.32x = 6,783.72 × 1,404.48
  4. Step 4: Simplify right side
    4,522.32x = 9,527,599.07
  5. Step 5: Solve for x
    x = 9,527,599.07/4,522.32
  6. Step 6: Final answer
    x = 2,106.79

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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.