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Finding the Fourth Proportional to 5,930.60, 8,874 and 4,880.84

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Solution

The fourth proportional to 5,930.60, 8,874 and 4,880.84 is: 7,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.60 : 8,874 = 4,880.84 : x
  2. Step 2: Convert to fraction form
    5,930.60/8,874 = 4,880.84/x
  3. Step 3: Cross multiply
    5,930.60x = 8,874 × 4,880.84
  4. Step 4: Simplify right side
    5,930.60x = 43,312,574.16
  5. Step 5: Solve for x
    x = 43,312,574.16/5,930.60
  6. Step 6: Final answer
    x = 7,303.24

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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.