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Finding the Fourth Proportional to 5,838.48, 8,758.02 and 4,453.98

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Solution

The fourth proportional to 5,838.48, 8,758.02 and 4,453.98 is: 6,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.48 : 8,758.02 = 4,453.98 : x
  2. Step 2: Convert to fraction form
    5,838.48/8,758.02 = 4,453.98/x
  3. Step 3: Cross multiply
    5,838.48x = 8,758.02 × 4,453.98
  4. Step 4: Simplify right side
    5,838.48x = 39,008,045.92
  5. Step 5: Solve for x
    x = 39,008,045.92/5,838.48
  6. Step 6: Final answer
    x = 6,681.20

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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.