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Finding the Fourth Proportional to 3,535.83, 5,303.81 and 1,070.64

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Solution

The fourth proportional to 3,535.83, 5,303.81 and 1,070.64 is: 1,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.83 : 5,303.81 = 1,070.64 : x
  2. Step 2: Convert to fraction form
    3,535.83/5,303.81 = 1,070.64/x
  3. Step 3: Cross multiply
    3,535.83x = 5,303.81 × 1,070.64
  4. Step 4: Simplify right side
    3,535.83x = 5,678,473.82
  5. Step 5: Solve for x
    x = 5,678,473.82/3,535.83
  6. Step 6: Final answer
    x = 1,605.98

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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.