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Finding the Fourth Proportional to 4,692, 6,475.16 and 2,596.13

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Solution

The fourth proportional to 4,692, 6,475.16 and 2,596.13 is: 3,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692 : 6,475.16 = 2,596.13 : x
  2. Step 2: Convert to fraction form
    4,692/6,475.16 = 2,596.13/x
  3. Step 3: Cross multiply
    4,692x = 6,475.16 × 2,596.13
  4. Step 4: Simplify right side
    4,692x = 16,810,357.13
  5. Step 5: Solve for x
    x = 16,810,357.13/4,692
  6. Step 6: Final answer
    x = 3,582.77

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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.