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Finding the Fourth Proportional to 3,535.74, 5,303.68 and 1,070.42

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Solution

The fourth proportional to 3,535.74, 5,303.68 and 1,070.42 is: 1,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.74 : 5,303.68 = 1,070.42 : x
  2. Step 2: Convert to fraction form
    3,535.74/5,303.68 = 1,070.42/x
  3. Step 3: Cross multiply
    3,535.74x = 5,303.68 × 1,070.42
  4. Step 4: Simplify right side
    3,535.74x = 5,677,135.95
  5. Step 5: Solve for x
    x = 5,677,135.95/3,535.74
  6. Step 6: Final answer
    x = 1,605.64

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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.