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Finding the Fourth Proportional to 3,476.60, 5,210.28 and 1,283.30

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Solution

The fourth proportional to 3,476.60, 5,210.28 and 1,283.30 is: 1,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.60 : 5,210.28 = 1,283.30 : x
  2. Step 2: Convert to fraction form
    3,476.60/5,210.28 = 1,283.30/x
  3. Step 3: Cross multiply
    3,476.60x = 5,210.28 × 1,283.30
  4. Step 4: Simplify right side
    3,476.60x = 6,686,352.32
  5. Step 5: Solve for x
    x = 6,686,352.32/3,476.60
  6. Step 6: Final answer
    x = 1,923.24

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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.