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Finding the Fourth Proportional to 5,250.02, 7,875.06 and 1,354.14

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Solution

The fourth proportional to 5,250.02, 7,875.06 and 1,354.14 is: 2,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.02 : 7,875.06 = 1,354.14 : x
  2. Step 2: Convert to fraction form
    5,250.02/7,875.06 = 1,354.14/x
  3. Step 3: Cross multiply
    5,250.02x = 7,875.06 × 1,354.14
  4. Step 4: Simplify right side
    5,250.02x = 10,663,933.75
  5. Step 5: Solve for x
    x = 10,663,933.75/5,250.02
  6. Step 6: Final answer
    x = 2,031.22

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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.