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Finding the Fourth Proportional to 3,534.06, 5,300.15 and 1,068.22

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Solution

The fourth proportional to 3,534.06, 5,300.15 and 1,068.22 is: 1,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.06 : 5,300.15 = 1,068.22 : x
  2. Step 2: Convert to fraction form
    3,534.06/5,300.15 = 1,068.22/x
  3. Step 3: Cross multiply
    3,534.06x = 5,300.15 × 1,068.22
  4. Step 4: Simplify right side
    3,534.06x = 5,661,707.64
  5. Step 5: Solve for x
    x = 5,661,707.64/3,534.06
  6. Step 6: Final answer
    x = 1,602.04

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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.