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Finding the Fourth Proportional to 4,943.06, 7,415.76 and 1,656.38

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Solution

The fourth proportional to 4,943.06, 7,415.76 and 1,656.38 is: 2,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.06 : 7,415.76 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    4,943.06/7,415.76 = 1,656.38/x
  3. Step 3: Cross multiply
    4,943.06x = 7,415.76 × 1,656.38
  4. Step 4: Simplify right side
    4,943.06x = 12,283,316.55
  5. Step 5: Solve for x
    x = 12,283,316.55/4,943.06
  6. Step 6: Final answer
    x = 2,484.96

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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.