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Finding the Fourth Proportional to 5,130.11, 7,695.72 and 1,620.21

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Solution

The fourth proportional to 5,130.11, 7,695.72 and 1,620.21 is: 2,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.11 : 7,695.72 = 1,620.21 : x
  2. Step 2: Convert to fraction form
    5,130.11/7,695.72 = 1,620.21/x
  3. Step 3: Cross multiply
    5,130.11x = 7,695.72 × 1,620.21
  4. Step 4: Simplify right side
    5,130.11x = 12,468,674.40
  5. Step 5: Solve for x
    x = 12,468,674.40/5,130.11
  6. Step 6: Final answer
    x = 2,430.49

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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.