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Finding the Fourth Proportional to 4,653.84, 6,993.90 and 3,513.36

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Solution

The fourth proportional to 4,653.84, 6,993.90 and 3,513.36 is: 5,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.84 : 6,993.90 = 3,513.36 : x
  2. Step 2: Convert to fraction form
    4,653.84/6,993.90 = 3,513.36/x
  3. Step 3: Cross multiply
    4,653.84x = 6,993.90 × 3,513.36
  4. Step 4: Simplify right side
    4,653.84x = 24,572,088.50
  5. Step 5: Solve for x
    x = 24,572,088.50/4,653.84
  6. Step 6: Final answer
    x = 5,279.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.