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Finding the Fourth Proportional to 4,709.54, 6,499.28 and 2,665.28

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Solution

The fourth proportional to 4,709.54, 6,499.28 and 2,665.28 is: 3,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.54 : 6,499.28 = 2,665.28 : x
  2. Step 2: Convert to fraction form
    4,709.54/6,499.28 = 2,665.28/x
  3. Step 3: Cross multiply
    4,709.54x = 6,499.28 × 2,665.28
  4. Step 4: Simplify right side
    4,709.54x = 17,322,368.50
  5. Step 5: Solve for x
    x = 17,322,368.50/4,709.54
  6. Step 6: Final answer
    x = 3,678.15

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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.