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Finding the Fourth Proportional to 5,597.84, 7,682.26 and 5,011.40

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Solution

The fourth proportional to 5,597.84, 7,682.26 and 5,011.40 is: 6,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.84 : 7,682.26 = 5,011.40 : x
  2. Step 2: Convert to fraction form
    5,597.84/7,682.26 = 5,011.40/x
  3. Step 3: Cross multiply
    5,597.84x = 7,682.26 × 5,011.40
  4. Step 4: Simplify right side
    5,597.84x = 38,498,877.76
  5. Step 5: Solve for x
    x = 38,498,877.76/5,597.84
  6. Step 6: Final answer
    x = 6,877.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.