Home / 5,046-7,569.41-1,583.25

Finding the Fourth Proportional to 5,046, 7,569.41 and 1,583.25

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Solution

The fourth proportional to 5,046, 7,569.41 and 1,583.25 is: 2,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046 : 7,569.41 = 1,583.25 : x
  2. Step 2: Convert to fraction form
    5,046/7,569.41 = 1,583.25/x
  3. Step 3: Cross multiply
    5,046x = 7,569.41 × 1,583.25
  4. Step 4: Simplify right side
    5,046x = 11,984,260.47
  5. Step 5: Solve for x
    x = 11,984,260.47/5,046
  6. Step 6: Final answer
    x = 2,375.00

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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.