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Finding the Fourth Proportional to 3,534.08, 5,303.75 and 1,347.08

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Solution

The fourth proportional to 3,534.08, 5,303.75 and 1,347.08 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.08 : 5,303.75 = 1,347.08 : x
  2. Step 2: Convert to fraction form
    3,534.08/5,303.75 = 1,347.08/x
  3. Step 3: Cross multiply
    3,534.08x = 5,303.75 × 1,347.08
  4. Step 4: Simplify right side
    3,534.08x = 7,144,542.30
  5. Step 5: Solve for x
    x = 7,144,542.30/3,534.08
  6. Step 6: Final answer
    x = 2,021.62

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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.