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Finding the Fourth Proportional to 4,602.61, 6,908.07 and 4,307.37

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Solution

The fourth proportional to 4,602.61, 6,908.07 and 4,307.37 is: 6,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.61 : 6,908.07 = 4,307.37 : x
  2. Step 2: Convert to fraction form
    4,602.61/6,908.07 = 4,307.37/x
  3. Step 3: Cross multiply
    4,602.61x = 6,908.07 × 4,307.37
  4. Step 4: Simplify right side
    4,602.61x = 29,755,613.48
  5. Step 5: Solve for x
    x = 29,755,613.48/4,602.61
  6. Step 6: Final answer
    x = 6,464.94

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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.