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Finding the Fourth Proportional to 3,534.32, 5,300.03 and 1,313.30

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Solution

The fourth proportional to 3,534.32, 5,300.03 and 1,313.30 is: 1,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.32 : 5,300.03 = 1,313.30 : x
  2. Step 2: Convert to fraction form
    3,534.32/5,300.03 = 1,313.30/x
  3. Step 3: Cross multiply
    3,534.32x = 5,300.03 × 1,313.30
  4. Step 4: Simplify right side
    3,534.32x = 6,960,545.93
  5. Step 5: Solve for x
    x = 6,960,545.93/3,534.32
  6. Step 6: Final answer
    x = 1,969.41

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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.