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Finding the Fourth Proportional to 3,535.72, 5,303.34 and 1,070.64

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Solution

The fourth proportional to 3,535.72, 5,303.34 and 1,070.64 is: 1,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.72 : 5,303.34 = 1,070.64 : x
  2. Step 2: Convert to fraction form
    3,535.72/5,303.34 = 1,070.64/x
  3. Step 3: Cross multiply
    3,535.72x = 5,303.34 × 1,070.64
  4. Step 4: Simplify right side
    3,535.72x = 5,677,967.94
  5. Step 5: Solve for x
    x = 5,677,967.94/3,535.72
  6. Step 6: Final answer
    x = 1,605.89

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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.