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Finding the Fourth Proportional to 4,656.14, 6,985.02 and 2,466.71

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Solution

The fourth proportional to 4,656.14, 6,985.02 and 2,466.71 is: 3,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.14 : 6,985.02 = 2,466.71 : x
  2. Step 2: Convert to fraction form
    4,656.14/6,985.02 = 2,466.71/x
  3. Step 3: Cross multiply
    4,656.14x = 6,985.02 × 2,466.71
  4. Step 4: Simplify right side
    4,656.14x = 17,230,018.68
  5. Step 5: Solve for x
    x = 17,230,018.68/4,656.14
  6. Step 6: Final answer
    x = 3,700.49

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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.