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Finding the Fourth Proportional to 4,333.68, 6,503 and 1,870.96

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Solution

The fourth proportional to 4,333.68, 6,503 and 1,870.96 is: 2,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.68 : 6,503 = 1,870.96 : x
  2. Step 2: Convert to fraction form
    4,333.68/6,503 = 1,870.96/x
  3. Step 3: Cross multiply
    4,333.68x = 6,503 × 1,870.96
  4. Step 4: Simplify right side
    4,333.68x = 12,166,852.88
  5. Step 5: Solve for x
    x = 12,166,852.88/4,333.68
  6. Step 6: Final answer
    x = 2,807.51

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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.