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Finding the Fourth Proportional to 5,597.84, 8,394.80 and 1,648

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Solution

The fourth proportional to 5,597.84, 8,394.80 and 1,648 is: 2,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.84 : 8,394.80 = 1,648 : x
  2. Step 2: Convert to fraction form
    5,597.84/8,394.80 = 1,648/x
  3. Step 3: Cross multiply
    5,597.84x = 8,394.80 × 1,648
  4. Step 4: Simplify right side
    5,597.84x = 13,834,630.40
  5. Step 5: Solve for x
    x = 13,834,630.40/5,597.84
  6. Step 6: Final answer
    x = 2,471.42

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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.