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Finding the Fourth Proportional to 5,291.56, 7,935.54 and 1,828

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Solution

The fourth proportional to 5,291.56, 7,935.54 and 1,828 is: 2,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.56 : 7,935.54 = 1,828 : x
  2. Step 2: Convert to fraction form
    5,291.56/7,935.54 = 1,828/x
  3. Step 3: Cross multiply
    5,291.56x = 7,935.54 × 1,828
  4. Step 4: Simplify right side
    5,291.56x = 14,506,167.12
  5. Step 5: Solve for x
    x = 14,506,167.12/5,291.56
  6. Step 6: Final answer
    x = 2,741.38

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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.