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Finding the Fourth Proportional to 4,699.84, 6,437.96 and 4,648

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Solution

The fourth proportional to 4,699.84, 6,437.96 and 4,648 is: 6,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.84 : 6,437.96 = 4,648 : x
  2. Step 2: Convert to fraction form
    4,699.84/6,437.96 = 4,648/x
  3. Step 3: Cross multiply
    4,699.84x = 6,437.96 × 4,648
  4. Step 4: Simplify right side
    4,699.84x = 29,923,638.08
  5. Step 5: Solve for x
    x = 29,923,638.08/4,699.84
  6. Step 6: Final answer
    x = 6,366.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.