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Finding the Fourth Proportional to 5,250.42, 7,875.54 and 1,354.80

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Solution

The fourth proportional to 5,250.42, 7,875.54 and 1,354.80 is: 2,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.42 : 7,875.54 = 1,354.80 : x
  2. Step 2: Convert to fraction form
    5,250.42/7,875.54 = 1,354.80/x
  3. Step 3: Cross multiply
    5,250.42x = 7,875.54 × 1,354.80
  4. Step 4: Simplify right side
    5,250.42x = 10,669,781.59
  5. Step 5: Solve for x
    x = 10,669,781.59/5,250.42
  6. Step 6: Final answer
    x = 2,032.18

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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.