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Finding the Fourth Proportional to 5,082.34, 7,624.37 and 1,750.46

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Solution

The fourth proportional to 5,082.34, 7,624.37 and 1,750.46 is: 2,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.34 : 7,624.37 = 1,750.46 : x
  2. Step 2: Convert to fraction form
    5,082.34/7,624.37 = 1,750.46/x
  3. Step 3: Cross multiply
    5,082.34x = 7,624.37 × 1,750.46
  4. Step 4: Simplify right side
    5,082.34x = 13,346,154.71
  5. Step 5: Solve for x
    x = 13,346,154.71/5,082.34
  6. Step 6: Final answer
    x = 2,625.99

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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.