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Finding the Fourth Proportional to 3,533.40, 5,301.95 and 1,684.17

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Solution

The fourth proportional to 3,533.40, 5,301.95 and 1,684.17 is: 2,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.40 : 5,301.95 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    3,533.40/5,301.95 = 1,684.17/x
  3. Step 3: Cross multiply
    3,533.40x = 5,301.95 × 1,684.17
  4. Step 4: Simplify right side
    3,533.40x = 8,929,376.71
  5. Step 5: Solve for x
    x = 8,929,376.71/3,533.40
  6. Step 6: Final answer
    x = 2,527.13

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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.