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Finding the Fourth Proportional to 4,710.36, 6,498.34 and 2,719.50

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Solution

The fourth proportional to 4,710.36, 6,498.34 and 2,719.50 is: 3,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.36 : 6,498.34 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    4,710.36/6,498.34 = 2,719.50/x
  3. Step 3: Cross multiply
    4,710.36x = 6,498.34 × 2,719.50
  4. Step 4: Simplify right side
    4,710.36x = 17,672,235.63
  5. Step 5: Solve for x
    x = 17,672,235.63/4,710.36
  6. Step 6: Final answer
    x = 3,751.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.