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Finding the Fourth Proportional to 5,250.58, 7,875.26 and 1,354.68

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Solution

The fourth proportional to 5,250.58, 7,875.26 and 1,354.68 is: 2,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.58 : 7,875.26 = 1,354.68 : x
  2. Step 2: Convert to fraction form
    5,250.58/7,875.26 = 1,354.68/x
  3. Step 3: Cross multiply
    5,250.58x = 7,875.26 × 1,354.68
  4. Step 4: Simplify right side
    5,250.58x = 10,668,457.22
  5. Step 5: Solve for x
    x = 10,668,457.22/5,250.58
  6. Step 6: Final answer
    x = 2,031.86

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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.