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Finding the Fourth Proportional to 5,973.35, 8,244.24 and 3,457

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Solution

The fourth proportional to 5,973.35, 8,244.24 and 3,457 is: 4,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.35 : 8,244.24 = 3,457 : x
  2. Step 2: Convert to fraction form
    5,973.35/8,244.24 = 3,457/x
  3. Step 3: Cross multiply
    5,973.35x = 8,244.24 × 3,457
  4. Step 4: Simplify right side
    5,973.35x = 28,500,320.40
  5. Step 5: Solve for x
    x = 28,500,320.40/5,973.35
  6. Step 6: Final answer
    x = 4,771.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.