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Finding the Fourth Proportional to 5,174.68, 7,762.02 and 1,888.02

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Solution

The fourth proportional to 5,174.68, 7,762.02 and 1,888.02 is: 2,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.68 : 7,762.02 = 1,888.02 : x
  2. Step 2: Convert to fraction form
    5,174.68/7,762.02 = 1,888.02/x
  3. Step 3: Cross multiply
    5,174.68x = 7,762.02 × 1,888.02
  4. Step 4: Simplify right side
    5,174.68x = 14,654,849.00
  5. Step 5: Solve for x
    x = 14,654,849.00/5,174.68
  6. Step 6: Final answer
    x = 2,832.03

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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.