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Finding the Fourth Proportional to 2,369.60, 3,562.08 and 2,358.08

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Solution

The fourth proportional to 2,369.60, 3,562.08 and 2,358.08 is: 3,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.60 : 3,562.08 = 2,358.08 : x
  2. Step 2: Convert to fraction form
    2,369.60/3,562.08 = 2,358.08/x
  3. Step 3: Cross multiply
    2,369.60x = 3,562.08 × 2,358.08
  4. Step 4: Simplify right side
    2,369.60x = 8,399,669.61
  5. Step 5: Solve for x
    x = 8,399,669.61/2,369.60
  6. Step 6: Final answer
    x = 3,544.76

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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.