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Finding the Fourth Proportional to 5,035.34, 7,553.02 and 1,914.63

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Solution

The fourth proportional to 5,035.34, 7,553.02 and 1,914.63 is: 2,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.34 : 7,553.02 = 1,914.63 : x
  2. Step 2: Convert to fraction form
    5,035.34/7,553.02 = 1,914.63/x
  3. Step 3: Cross multiply
    5,035.34x = 7,553.02 × 1,914.63
  4. Step 4: Simplify right side
    5,035.34x = 14,461,237.49
  5. Step 5: Solve for x
    x = 14,461,237.49/5,035.34
  6. Step 6: Final answer
    x = 2,871.95

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1.5x scale

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.