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Finding the Fourth Proportional to 4,985.80, 7,430.20 and 4,835.68

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Solution

The fourth proportional to 4,985.80, 7,430.20 and 4,835.68 is: 7,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.80 : 7,430.20 = 4,835.68 : x
  2. Step 2: Convert to fraction form
    4,985.80/7,430.20 = 4,835.68/x
  3. Step 3: Cross multiply
    4,985.80x = 7,430.20 × 4,835.68
  4. Step 4: Simplify right side
    4,985.80x = 35,930,069.54
  5. Step 5: Solve for x
    x = 35,930,069.54/4,985.80
  6. Step 6: Final answer
    x = 7,206.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.