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Finding the Fourth Proportional to 3,534.59, 5,302.11 and 1,035.94

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Solution

The fourth proportional to 3,534.59, 5,302.11 and 1,035.94 is: 1,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.59 : 5,302.11 = 1,035.94 : x
  2. Step 2: Convert to fraction form
    3,534.59/5,302.11 = 1,035.94/x
  3. Step 3: Cross multiply
    3,534.59x = 5,302.11 × 1,035.94
  4. Step 4: Simplify right side
    3,534.59x = 5,492,662.58
  5. Step 5: Solve for x
    x = 5,492,662.58/3,534.59
  6. Step 6: Final answer
    x = 1,553.98

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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.