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Finding the Fourth Proportional to 5,403.65, 7,457.65 and 3,167.42

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Solution

The fourth proportional to 5,403.65, 7,457.65 and 3,167.42 is: 4,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.65 : 7,457.65 = 3,167.42 : x
  2. Step 2: Convert to fraction form
    5,403.65/7,457.65 = 3,167.42/x
  3. Step 3: Cross multiply
    5,403.65x = 7,457.65 × 3,167.42
  4. Step 4: Simplify right side
    5,403.65x = 23,621,516.53
  5. Step 5: Solve for x
    x = 23,621,516.53/5,403.65
  6. Step 6: Final answer
    x = 4,371.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.