Home / 3,052.31-4,578.80-971.58

Finding the Fourth Proportional to 3,052.31, 4,578.80 and 971.58

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Solution

The fourth proportional to 3,052.31, 4,578.80 and 971.58 is: 1,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.31 : 4,578.80 = 971.58 : x
  2. Step 2: Convert to fraction form
    3,052.31/4,578.80 = 971.58/x
  3. Step 3: Cross multiply
    3,052.31x = 4,578.80 × 971.58
  4. Step 4: Simplify right side
    3,052.31x = 4,448,670.50
  5. Step 5: Solve for x
    x = 4,448,670.50/3,052.31
  6. Step 6: Final answer
    x = 1,457.48

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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.