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Finding the Fourth Proportional to 5,356.61, 7,391.47 and 2,966.40

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Solution

The fourth proportional to 5,356.61, 7,391.47 and 2,966.40 is: 4,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.61 : 7,391.47 = 2,966.40 : x
  2. Step 2: Convert to fraction form
    5,356.61/7,391.47 = 2,966.40/x
  3. Step 3: Cross multiply
    5,356.61x = 7,391.47 × 2,966.40
  4. Step 4: Simplify right side
    5,356.61x = 21,926,056.61
  5. Step 5: Solve for x
    x = 21,926,056.61/5,356.61
  6. Step 6: Final answer
    x = 4,093.27

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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.