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Finding the Fourth Proportional to 4,698.88, 6,484.46 and 2,603

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Solution

The fourth proportional to 4,698.88, 6,484.46 and 2,603 is: 3,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.88 : 6,484.46 = 2,603 : x
  2. Step 2: Convert to fraction form
    4,698.88/6,484.46 = 2,603/x
  3. Step 3: Cross multiply
    4,698.88x = 6,484.46 × 2,603
  4. Step 4: Simplify right side
    4,698.88x = 16,879,049.38
  5. Step 5: Solve for x
    x = 16,879,049.38/4,698.88
  6. Step 6: Final answer
    x = 3,592.14

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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.