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Finding the Fourth Proportional to 5,252.31, 7,880.01 and 1,554.64

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Solution

The fourth proportional to 5,252.31, 7,880.01 and 1,554.64 is: 2,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.31 : 7,880.01 = 1,554.64 : x
  2. Step 2: Convert to fraction form
    5,252.31/7,880.01 = 1,554.64/x
  3. Step 3: Cross multiply
    5,252.31x = 7,880.01 × 1,554.64
  4. Step 4: Simplify right side
    5,252.31x = 12,250,559.05
  5. Step 5: Solve for x
    x = 12,250,559.05/5,252.31
  6. Step 6: Final answer
    x = 2,332.41

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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.