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Finding the Fourth Proportional to 4,698.30, 6,483.69 and 2,708.81

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Solution

The fourth proportional to 4,698.30, 6,483.69 and 2,708.81 is: 3,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.30 : 6,483.69 = 2,708.81 : x
  2. Step 2: Convert to fraction form
    4,698.30/6,483.69 = 2,708.81/x
  3. Step 3: Cross multiply
    4,698.30x = 6,483.69 × 2,708.81
  4. Step 4: Simplify right side
    4,698.30x = 17,563,051.89
  5. Step 5: Solve for x
    x = 17,563,051.89/4,698.30
  6. Step 6: Final answer
    x = 3,738.17

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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.