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Finding the Fourth Proportional to 7,297.60, 10,948.98 and 3,602.42

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Solution

The fourth proportional to 7,297.60, 10,948.98 and 3,602.42 is: 5,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.60 : 10,948.98 = 3,602.42 : x
  2. Step 2: Convert to fraction form
    7,297.60/10,948.98 = 3,602.42/x
  3. Step 3: Cross multiply
    7,297.60x = 10,948.98 × 3,602.42
  4. Step 4: Simplify right side
    7,297.60x = 39,442,751.77
  5. Step 5: Solve for x
    x = 39,442,751.77/7,297.60
  6. Step 6: Final answer
    x = 5,404.90

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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.