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Finding the Fourth Proportional to 4,658.21, 7,001.13 and 4,314.47

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Solution

The fourth proportional to 4,658.21, 7,001.13 and 4,314.47 is: 6,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.21 : 7,001.13 = 4,314.47 : x
  2. Step 2: Convert to fraction form
    4,658.21/7,001.13 = 4,314.47/x
  3. Step 3: Cross multiply
    4,658.21x = 7,001.13 × 4,314.47
  4. Step 4: Simplify right side
    4,658.21x = 30,206,146.52
  5. Step 5: Solve for x
    x = 30,206,146.52/4,658.21
  6. Step 6: Final answer
    x = 6,484.50

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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.