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Finding the Fourth Proportional to 3,535.50, 5,303.38 and 1,070.52

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Solution

The fourth proportional to 3,535.50, 5,303.38 and 1,070.52 is: 1,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.50 : 5,303.38 = 1,070.52 : x
  2. Step 2: Convert to fraction form
    3,535.50/5,303.38 = 1,070.52/x
  3. Step 3: Cross multiply
    3,535.50x = 5,303.38 × 1,070.52
  4. Step 4: Simplify right side
    3,535.50x = 5,677,374.36
  5. Step 5: Solve for x
    x = 5,677,374.36/3,535.50
  6. Step 6: Final answer
    x = 1,605.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.