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Finding the Fourth Proportional to 4,677.84, 6,459.84 and 4,050

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Solution

The fourth proportional to 4,677.84, 6,459.84 and 4,050 is: 5,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.84 : 6,459.84 = 4,050 : x
  2. Step 2: Convert to fraction form
    4,677.84/6,459.84 = 4,050/x
  3. Step 3: Cross multiply
    4,677.84x = 6,459.84 × 4,050
  4. Step 4: Simplify right side
    4,677.84x = 26,162,352
  5. Step 5: Solve for x
    x = 26,162,352/4,677.84
  6. Step 6: Final answer
    x = 5,592.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.