Home / 3,052.35-4,577.36-971.91

Finding the Fourth Proportional to 3,052.35, 4,577.36 and 971.91

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Solution

The fourth proportional to 3,052.35, 4,577.36 and 971.91 is: 1,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.35 : 4,577.36 = 971.91 : x
  2. Step 2: Convert to fraction form
    3,052.35/4,577.36 = 971.91/x
  3. Step 3: Cross multiply
    3,052.35x = 4,577.36 × 971.91
  4. Step 4: Simplify right side
    3,052.35x = 4,448,777.10
  5. Step 5: Solve for x
    x = 4,448,777.10/3,052.35
  6. Step 6: Final answer
    x = 1,457.49

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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.