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Finding the Fourth Proportional to 4,643.10, 6,408.05 and 2,653.74

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Solution

The fourth proportional to 4,643.10, 6,408.05 and 2,653.74 is: 3,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.10 : 6,408.05 = 2,653.74 : x
  2. Step 2: Convert to fraction form
    4,643.10/6,408.05 = 2,653.74/x
  3. Step 3: Cross multiply
    4,643.10x = 6,408.05 × 2,653.74
  4. Step 4: Simplify right side
    4,643.10x = 17,005,285.34
  5. Step 5: Solve for x
    x = 17,005,285.34/4,643.10
  6. Step 6: Final answer
    x = 3,662.49

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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.