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Finding the Fourth Proportional to 6,178.84, 8,534.28 and 4,497.58

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Solution

The fourth proportional to 6,178.84, 8,534.28 and 4,497.58 is: 6,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.84 : 8,534.28 = 4,497.58 : x
  2. Step 2: Convert to fraction form
    6,178.84/8,534.28 = 4,497.58/x
  3. Step 3: Cross multiply
    6,178.84x = 8,534.28 × 4,497.58
  4. Step 4: Simplify right side
    6,178.84x = 38,383,607.04
  5. Step 5: Solve for x
    x = 38,383,607.04/6,178.84
  6. Step 6: Final answer
    x = 6,212.11

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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.