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Finding the Fourth Proportional to 3,880.48, 5,355.03 and 3,320.23

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Solution

The fourth proportional to 3,880.48, 5,355.03 and 3,320.23 is: 4,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.48 : 5,355.03 = 3,320.23 : x
  2. Step 2: Convert to fraction form
    3,880.48/5,355.03 = 3,320.23/x
  3. Step 3: Cross multiply
    3,880.48x = 5,355.03 × 3,320.23
  4. Step 4: Simplify right side
    3,880.48x = 17,779,931.26
  5. Step 5: Solve for x
    x = 17,779,931.26/3,880.48
  6. Step 6: Final answer
    x = 4,581.89

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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.