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Finding the Fourth Proportional to 6,402.52, 8,835.02 and 3,569.77

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Solution

The fourth proportional to 6,402.52, 8,835.02 and 3,569.77 is: 4,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.52 : 8,835.02 = 3,569.77 : x
  2. Step 2: Convert to fraction form
    6,402.52/8,835.02 = 3,569.77/x
  3. Step 3: Cross multiply
    6,402.52x = 8,835.02 × 3,569.77
  4. Step 4: Simplify right side
    6,402.52x = 31,539,016.01
  5. Step 5: Solve for x
    x = 31,539,016.01/6,402.52
  6. Step 6: Final answer
    x = 4,926.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.