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Finding the Fourth Proportional to 5,624.64, 8,437.64 and 2,339.96

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Solution

The fourth proportional to 5,624.64, 8,437.64 and 2,339.96 is: 3,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.64 : 8,437.64 = 2,339.96 : x
  2. Step 2: Convert to fraction form
    5,624.64/8,437.64 = 2,339.96/x
  3. Step 3: Cross multiply
    5,624.64x = 8,437.64 × 2,339.96
  4. Step 4: Simplify right side
    5,624.64x = 19,743,686.21
  5. Step 5: Solve for x
    x = 19,743,686.21/5,624.64
  6. Step 6: Final answer
    x = 3,510.21

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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.