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Finding the Fourth Proportional to 4,189.05, 5,780.03 and 2,510.01

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Solution

The fourth proportional to 4,189.05, 5,780.03 and 2,510.01 is: 3,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.05 : 5,780.03 = 2,510.01 : x
  2. Step 2: Convert to fraction form
    4,189.05/5,780.03 = 2,510.01/x
  3. Step 3: Cross multiply
    4,189.05x = 5,780.03 × 2,510.01
  4. Step 4: Simplify right side
    4,189.05x = 14,507,920.55
  5. Step 5: Solve for x
    x = 14,507,920.55/4,189.05
  6. Step 6: Final answer
    x = 3,463.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.