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Finding the Fourth Proportional to 3,569.22, 5,354.61 and 1,070.30

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Solution

The fourth proportional to 3,569.22, 5,354.61 and 1,070.30 is: 1,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.22 : 5,354.61 = 1,070.30 : x
  2. Step 2: Convert to fraction form
    3,569.22/5,354.61 = 1,070.30/x
  3. Step 3: Cross multiply
    3,569.22x = 5,354.61 × 1,070.30
  4. Step 4: Simplify right side
    3,569.22x = 5,731,055.15
  5. Step 5: Solve for x
    x = 5,731,055.15/3,569.22
  6. Step 6: Final answer
    x = 1,605.69

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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.