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Finding the Fourth Proportional to 3,480.03, 5,216.88 and 1,288.20

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Solution

The fourth proportional to 3,480.03, 5,216.88 and 1,288.20 is: 1,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.03 : 5,216.88 = 1,288.20 : x
  2. Step 2: Convert to fraction form
    3,480.03/5,216.88 = 1,288.20/x
  3. Step 3: Cross multiply
    3,480.03x = 5,216.88 × 1,288.20
  4. Step 4: Simplify right side
    3,480.03x = 6,720,384.82
  5. Step 5: Solve for x
    x = 6,720,384.82/3,480.03
  6. Step 6: Final answer
    x = 1,931.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.