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Finding the Fourth Proportional to 5,283.90, 7,927.29 and 1,774.50

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Solution

The fourth proportional to 5,283.90, 7,927.29 and 1,774.50 is: 2,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.90 : 7,927.29 = 1,774.50 : x
  2. Step 2: Convert to fraction form
    5,283.90/7,927.29 = 1,774.50/x
  3. Step 3: Cross multiply
    5,283.90x = 7,927.29 × 1,774.50
  4. Step 4: Simplify right side
    5,283.90x = 14,066,976.11
  5. Step 5: Solve for x
    x = 14,066,976.11/5,283.90
  6. Step 6: Final answer
    x = 2,662.23

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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.