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Finding the Fourth Proportional to 5,158.78, 7,737 and 1,460.01

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Solution

The fourth proportional to 5,158.78, 7,737 and 1,460.01 is: 2,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.78 : 7,737 = 1,460.01 : x
  2. Step 2: Convert to fraction form
    5,158.78/7,737 = 1,460.01/x
  3. Step 3: Cross multiply
    5,158.78x = 7,737 × 1,460.01
  4. Step 4: Simplify right side
    5,158.78x = 11,296,097.37
  5. Step 5: Solve for x
    x = 11,296,097.37/5,158.78
  6. Step 6: Final answer
    x = 2,189.68

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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.