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Finding the Fourth Proportional to 5,634.76, 7,776 and 3,277.02

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Solution

The fourth proportional to 5,634.76, 7,776 and 3,277.02 is: 4,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.76 : 7,776 = 3,277.02 : x
  2. Step 2: Convert to fraction form
    5,634.76/7,776 = 3,277.02/x
  3. Step 3: Cross multiply
    5,634.76x = 7,776 × 3,277.02
  4. Step 4: Simplify right side
    5,634.76x = 25,482,107.52
  5. Step 5: Solve for x
    x = 25,482,107.52/5,634.76
  6. Step 6: Final answer
    x = 4,522.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.