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Finding the Fourth Proportional to 4,753.80, 7,130.70 and 4,352.85

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Solution

The fourth proportional to 4,753.80, 7,130.70 and 4,352.85 is: 6,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.80 : 7,130.70 = 4,352.85 : x
  2. Step 2: Convert to fraction form
    4,753.80/7,130.70 = 4,352.85/x
  3. Step 3: Cross multiply
    4,753.80x = 7,130.70 × 4,352.85
  4. Step 4: Simplify right side
    4,753.80x = 31,038,867.50
  5. Step 5: Solve for x
    x = 31,038,867.50/4,753.80
  6. Step 6: Final answer
    x = 6,529.28

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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.