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Finding the Fourth Proportional to 5,280.02, 7,921.30 and 1,770.04

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Solution

The fourth proportional to 5,280.02, 7,921.30 and 1,770.04 is: 2,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.02 : 7,921.30 = 1,770.04 : x
  2. Step 2: Convert to fraction form
    5,280.02/7,921.30 = 1,770.04/x
  3. Step 3: Cross multiply
    5,280.02x = 7,921.30 × 1,770.04
  4. Step 4: Simplify right side
    5,280.02x = 14,021,017.85
  5. Step 5: Solve for x
    x = 14,021,017.85/5,280.02
  6. Step 6: Final answer
    x = 2,655.49

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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.