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Finding the Fourth Proportional to 4,649.04, 6,415.74 and 2,632.55

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Solution

The fourth proportional to 4,649.04, 6,415.74 and 2,632.55 is: 3,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.04 : 6,415.74 = 2,632.55 : x
  2. Step 2: Convert to fraction form
    4,649.04/6,415.74 = 2,632.55/x
  3. Step 3: Cross multiply
    4,649.04x = 6,415.74 × 2,632.55
  4. Step 4: Simplify right side
    4,649.04x = 16,889,724.26
  5. Step 5: Solve for x
    x = 16,889,724.26/4,649.04
  6. Step 6: Final answer
    x = 3,632.95

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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.