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Finding the Fourth Proportional to 4,457.52, 6,687 and 3,643.20

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Solution

The fourth proportional to 4,457.52, 6,687 and 3,643.20 is: 5,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.52 : 6,687 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    4,457.52/6,687 = 3,643.20/x
  3. Step 3: Cross multiply
    4,457.52x = 6,687 × 3,643.20
  4. Step 4: Simplify right side
    4,457.52x = 24,362,078.40
  5. Step 5: Solve for x
    x = 24,362,078.40/4,457.52
  6. Step 6: Final answer
    x = 5,465.39

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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.