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Finding the Fourth Proportional to 4,655.13, 6,984.62 and 1,883.76

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Solution

The fourth proportional to 4,655.13, 6,984.62 and 1,883.76 is: 2,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.13 : 6,984.62 = 1,883.76 : x
  2. Step 2: Convert to fraction form
    4,655.13/6,984.62 = 1,883.76/x
  3. Step 3: Cross multiply
    4,655.13x = 6,984.62 × 1,883.76
  4. Step 4: Simplify right side
    4,655.13x = 13,157,347.77
  5. Step 5: Solve for x
    x = 13,157,347.77/4,655.13
  6. Step 6: Final answer
    x = 2,826.42

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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.