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Finding the Fourth Proportional to 4,966.61, 7,449.71 and 2,333.16

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Solution

The fourth proportional to 4,966.61, 7,449.71 and 2,333.16 is: 3,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.61 : 7,449.71 = 2,333.16 : x
  2. Step 2: Convert to fraction form
    4,966.61/7,449.71 = 2,333.16/x
  3. Step 3: Cross multiply
    4,966.61x = 7,449.71 × 2,333.16
  4. Step 4: Simplify right side
    4,966.61x = 17,381,353.72
  5. Step 5: Solve for x
    x = 17,381,353.72/4,966.61
  6. Step 6: Final answer
    x = 3,499.64

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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.