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Finding the Fourth Proportional to 4,007.63, 5,532.80 and 2,782.01

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Solution

The fourth proportional to 4,007.63, 5,532.80 and 2,782.01 is: 3,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.63 : 5,532.80 = 2,782.01 : x
  2. Step 2: Convert to fraction form
    4,007.63/5,532.80 = 2,782.01/x
  3. Step 3: Cross multiply
    4,007.63x = 5,532.80 × 2,782.01
  4. Step 4: Simplify right side
    4,007.63x = 15,392,263.35
  5. Step 5: Solve for x
    x = 15,392,263.35/4,007.63
  6. Step 6: Final answer
    x = 3,840.74

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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.