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Finding the Fourth Proportional to 4,705.56, 7,052.38 and 4,582.93

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Solution

The fourth proportional to 4,705.56, 7,052.38 and 4,582.93 is: 6,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.56 : 7,052.38 = 4,582.93 : x
  2. Step 2: Convert to fraction form
    4,705.56/7,052.38 = 4,582.93/x
  3. Step 3: Cross multiply
    4,705.56x = 7,052.38 × 4,582.93
  4. Step 4: Simplify right side
    4,705.56x = 32,320,573.79
  5. Step 5: Solve for x
    x = 32,320,573.79/4,705.56
  6. Step 6: Final answer
    x = 6,868.59

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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.