Home / 5,051-7,577.85-1,588.25

Finding the Fourth Proportional to 5,051, 7,577.85 and 1,588.25

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Solution

The fourth proportional to 5,051, 7,577.85 and 1,588.25 is: 2,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051 : 7,577.85 = 1,588.25 : x
  2. Step 2: Convert to fraction form
    5,051/7,577.85 = 1,588.25/x
  3. Step 3: Cross multiply
    5,051x = 7,577.85 × 1,588.25
  4. Step 4: Simplify right side
    5,051x = 12,035,520.26
  5. Step 5: Solve for x
    x = 12,035,520.26/5,051
  6. Step 6: Final answer
    x = 2,382.80

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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.