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Finding the Fourth Proportional to 4,564.99, 6,848.64 and 1,278.10

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Solution

The fourth proportional to 4,564.99, 6,848.64 and 1,278.10 is: 1,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.99 : 6,848.64 = 1,278.10 : x
  2. Step 2: Convert to fraction form
    4,564.99/6,848.64 = 1,278.10/x
  3. Step 3: Cross multiply
    4,564.99x = 6,848.64 × 1,278.10
  4. Step 4: Simplify right side
    4,564.99x = 8,753,246.78
  5. Step 5: Solve for x
    x = 8,753,246.78/4,564.99
  6. Step 6: Final answer
    x = 1,917.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.