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Finding the Fourth Proportional to 4,777.31, 6,595.90 and 3,656.25

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Solution

The fourth proportional to 4,777.31, 6,595.90 and 3,656.25 is: 5,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.31 : 6,595.90 = 3,656.25 : x
  2. Step 2: Convert to fraction form
    4,777.31/6,595.90 = 3,656.25/x
  3. Step 3: Cross multiply
    4,777.31x = 6,595.90 × 3,656.25
  4. Step 4: Simplify right side
    4,777.31x = 24,116,259.38
  5. Step 5: Solve for x
    x = 24,116,259.38/4,777.31
  6. Step 6: Final answer
    x = 5,048.08

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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.