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Finding the Fourth Proportional to 3,537.72, 5,308.50 and 1,457.40

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Solution

The fourth proportional to 3,537.72, 5,308.50 and 1,457.40 is: 2,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.72 : 5,308.50 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    3,537.72/5,308.50 = 1,457.40/x
  3. Step 3: Cross multiply
    3,537.72x = 5,308.50 × 1,457.40
  4. Step 4: Simplify right side
    3,537.72x = 7,736,607.90
  5. Step 5: Solve for x
    x = 7,736,607.90/3,537.72
  6. Step 6: Final answer
    x = 2,186.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.