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Finding the Fourth Proportional to 5,357.12, 8,032.50 and 1,658.25

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Solution

The fourth proportional to 5,357.12, 8,032.50 and 1,658.25 is: 2,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.12 : 8,032.50 = 1,658.25 : x
  2. Step 2: Convert to fraction form
    5,357.12/8,032.50 = 1,658.25/x
  3. Step 3: Cross multiply
    5,357.12x = 8,032.50 × 1,658.25
  4. Step 4: Simplify right side
    5,357.12x = 13,319,893.13
  5. Step 5: Solve for x
    x = 13,319,893.13/5,357.12
  6. Step 6: Final answer
    x = 2,486.39

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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.