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Finding the Fourth Proportional to 4,758.58, 7,135.98 and 1,835.02

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Solution

The fourth proportional to 4,758.58, 7,135.98 and 1,835.02 is: 2,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.58 : 7,135.98 = 1,835.02 : x
  2. Step 2: Convert to fraction form
    4,758.58/7,135.98 = 1,835.02/x
  3. Step 3: Cross multiply
    4,758.58x = 7,135.98 × 1,835.02
  4. Step 4: Simplify right side
    4,758.58x = 13,094,666.02
  5. Step 5: Solve for x
    x = 13,094,666.02/4,758.58
  6. Step 6: Final answer
    x = 2,751.80

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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.