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Finding the Fourth Proportional to 5,582.93, 7,702.90 and 3,596.00

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Solution

The fourth proportional to 5,582.93, 7,702.90 and 3,596.00 is: 4,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.93 : 7,702.90 = 3,596.00 : x
  2. Step 2: Convert to fraction form
    5,582.93/7,702.90 = 3,596.00/x
  3. Step 3: Cross multiply
    5,582.93x = 7,702.90 × 3,596.00
  4. Step 4: Simplify right side
    5,582.93x = 27,699,580.90
  5. Step 5: Solve for x
    x = 27,699,580.90/5,582.93
  6. Step 6: Final answer
    x = 4,961.48

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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.