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Finding the Fourth Proportional to 4,805.84, 6,628.56 and 3,710.39

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Solution

The fourth proportional to 4,805.84, 6,628.56 and 3,710.39 is: 5,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.84 : 6,628.56 = 3,710.39 : x
  2. Step 2: Convert to fraction form
    4,805.84/6,628.56 = 3,710.39/x
  3. Step 3: Cross multiply
    4,805.84x = 6,628.56 × 3,710.39
  4. Step 4: Simplify right side
    4,805.84x = 24,594,509.60
  5. Step 5: Solve for x
    x = 24,594,509.60/4,805.84
  6. Step 6: Final answer
    x = 5,117.64

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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.