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Finding the Fourth Proportional to 4,705.32, 6,494.40 and 2,716.50

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Solution

The fourth proportional to 4,705.32, 6,494.40 and 2,716.50 is: 3,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.32 : 6,494.40 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    4,705.32/6,494.40 = 2,716.50/x
  3. Step 3: Cross multiply
    4,705.32x = 6,494.40 × 2,716.50
  4. Step 4: Simplify right side
    4,705.32x = 17,642,037.60
  5. Step 5: Solve for x
    x = 17,642,037.60/4,705.32
  6. Step 6: Final answer
    x = 3,749.38

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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.