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Finding the Fourth Proportional to 4,488.40, 6,674.45 and 4,349.80

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Solution

The fourth proportional to 4,488.40, 6,674.45 and 4,349.80 is: 6,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.40 : 6,674.45 = 4,349.80 : x
  2. Step 2: Convert to fraction form
    4,488.40/6,674.45 = 4,349.80/x
  3. Step 3: Cross multiply
    4,488.40x = 6,674.45 × 4,349.80
  4. Step 4: Simplify right side
    4,488.40x = 29,032,522.61
  5. Step 5: Solve for x
    x = 29,032,522.61/4,488.40
  6. Step 6: Final answer
    x = 6,468.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.