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Finding the Fourth Proportional to 4,658.48, 6,430.72 and 3,329.88

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Solution

The fourth proportional to 4,658.48, 6,430.72 and 3,329.88 is: 4,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.48 : 6,430.72 = 3,329.88 : x
  2. Step 2: Convert to fraction form
    4,658.48/6,430.72 = 3,329.88/x
  3. Step 3: Cross multiply
    4,658.48x = 6,430.72 × 3,329.88
  4. Step 4: Simplify right side
    4,658.48x = 21,413,525.91
  5. Step 5: Solve for x
    x = 21,413,525.91/4,658.48
  6. Step 6: Final answer
    x = 4,596.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.