Home / 3,642.90-5,466.33-1,564.98

Finding the Fourth Proportional to 3,642.90, 5,466.33 and 1,564.98

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Solution

The fourth proportional to 3,642.90, 5,466.33 and 1,564.98 is: 2,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.90 : 5,466.33 = 1,564.98 : x
  2. Step 2: Convert to fraction form
    3,642.90/5,466.33 = 1,564.98/x
  3. Step 3: Cross multiply
    3,642.90x = 5,466.33 × 1,564.98
  4. Step 4: Simplify right side
    3,642.90x = 8,554,697.12
  5. Step 5: Solve for x
    x = 8,554,697.12/3,642.90
  6. Step 6: Final answer
    x = 2,348.32

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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.