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Finding the Fourth Proportional to 4,655.17, 6,984.06 and 1,883.79

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Solution

The fourth proportional to 4,655.17, 6,984.06 and 1,883.79 is: 2,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.17 : 6,984.06 = 1,883.79 : x
  2. Step 2: Convert to fraction form
    4,655.17/6,984.06 = 1,883.79/x
  3. Step 3: Cross multiply
    4,655.17x = 6,984.06 × 1,883.79
  4. Step 4: Simplify right side
    4,655.17x = 13,156,502.39
  5. Step 5: Solve for x
    x = 13,156,502.39/4,655.17
  6. Step 6: Final answer
    x = 2,826.21

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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.