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Finding the Fourth Proportional to 3,437.96, 5,157.81 and 1,590.53

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Solution

The fourth proportional to 3,437.96, 5,157.81 and 1,590.53 is: 2,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.96 : 5,157.81 = 1,590.53 : x
  2. Step 2: Convert to fraction form
    3,437.96/5,157.81 = 1,590.53/x
  3. Step 3: Cross multiply
    3,437.96x = 5,157.81 × 1,590.53
  4. Step 4: Simplify right side
    3,437.96x = 8,203,625.75
  5. Step 5: Solve for x
    x = 8,203,625.75/3,437.96
  6. Step 6: Final answer
    x = 2,386.19

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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.