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Finding the Fourth Proportional to 4,731.76, 7,098.50 and 1,956.93

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Solution

The fourth proportional to 4,731.76, 7,098.50 and 1,956.93 is: 2,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.76 : 7,098.50 = 1,956.93 : x
  2. Step 2: Convert to fraction form
    4,731.76/7,098.50 = 1,956.93/x
  3. Step 3: Cross multiply
    4,731.76x = 7,098.50 × 1,956.93
  4. Step 4: Simplify right side
    4,731.76x = 13,891,267.61
  5. Step 5: Solve for x
    x = 13,891,267.61/4,731.76
  6. Step 6: Final answer
    x = 2,935.75

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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.