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Finding the Fourth Proportional to 5,061.66, 7,593.30 and 2,140

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Solution

The fourth proportional to 5,061.66, 7,593.30 and 2,140 is: 3,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.66 : 7,593.30 = 2,140 : x
  2. Step 2: Convert to fraction form
    5,061.66/7,593.30 = 2,140/x
  3. Step 3: Cross multiply
    5,061.66x = 7,593.30 × 2,140
  4. Step 4: Simplify right side
    5,061.66x = 16,249,662
  5. Step 5: Solve for x
    x = 16,249,662/5,061.66
  6. Step 6: Final answer
    x = 3,210.34

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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.