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Finding the Fourth Proportional to 5,582.04, 7,702.40 and 3,343.44

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Solution

The fourth proportional to 5,582.04, 7,702.40 and 3,343.44 is: 4,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.04 : 7,702.40 = 3,343.44 : x
  2. Step 2: Convert to fraction form
    5,582.04/7,702.40 = 3,343.44/x
  3. Step 3: Cross multiply
    5,582.04x = 7,702.40 × 3,343.44
  4. Step 4: Simplify right side
    5,582.04x = 25,752,512.26
  5. Step 5: Solve for x
    x = 25,752,512.26/5,582.04
  6. Step 6: Final answer
    x = 4,613.46

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