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Finding the Fourth Proportional to 4,703.89, 7,056.13 and 1,583.64

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Solution

The fourth proportional to 4,703.89, 7,056.13 and 1,583.64 is: 2,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.89 : 7,056.13 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    4,703.89/7,056.13 = 1,583.64/x
  3. Step 3: Cross multiply
    4,703.89x = 7,056.13 × 1,583.64
  4. Step 4: Simplify right side
    4,703.89x = 11,174,369.71
  5. Step 5: Solve for x
    x = 11,174,369.71/4,703.89
  6. Step 6: Final answer
    x = 2,375.56

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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.