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Finding the Fourth Proportional to 3,643.35, 5,421.42 and 3,631.06

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Solution

The fourth proportional to 3,643.35, 5,421.42 and 3,631.06 is: 5,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.35 : 5,421.42 = 3,631.06 : x
  2. Step 2: Convert to fraction form
    3,643.35/5,421.42 = 3,631.06/x
  3. Step 3: Cross multiply
    3,643.35x = 5,421.42 × 3,631.06
  4. Step 4: Simplify right side
    3,643.35x = 19,685,501.31
  5. Step 5: Solve for x
    x = 19,685,501.31/3,643.35
  6. Step 6: Final answer
    x = 5,403.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.