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Finding the Fourth Proportional to 4,582.80, 6,870.60 and 2,530.80

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Solution

The fourth proportional to 4,582.80, 6,870.60 and 2,530.80 is: 3,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.80 : 6,870.60 = 2,530.80 : x
  2. Step 2: Convert to fraction form
    4,582.80/6,870.60 = 2,530.80/x
  3. Step 3: Cross multiply
    4,582.80x = 6,870.60 × 2,530.80
  4. Step 4: Simplify right side
    4,582.80x = 17,388,114.48
  5. Step 5: Solve for x
    x = 17,388,114.48/4,582.80
  6. Step 6: Final answer
    x = 3,794.21

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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.