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Finding the Fourth Proportional to 4,638.94, 6,400.49 and 2,649.10

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Solution

The fourth proportional to 4,638.94, 6,400.49 and 2,649.10 is: 3,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.94 : 6,400.49 = 2,649.10 : x
  2. Step 2: Convert to fraction form
    4,638.94/6,400.49 = 2,649.10/x
  3. Step 3: Cross multiply
    4,638.94x = 6,400.49 × 2,649.10
  4. Step 4: Simplify right side
    4,638.94x = 16,955,492.81
  5. Step 5: Solve for x
    x = 16,955,492.81/4,638.94
  6. Step 6: Final answer
    x = 3,655.04

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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.