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Finding the Fourth Proportional to 3,534.69, 4,876.29 and 2,275.50

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Solution

The fourth proportional to 3,534.69, 4,876.29 and 2,275.50 is: 3,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.69 : 4,876.29 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    3,534.69/4,876.29 = 2,275.50/x
  3. Step 3: Cross multiply
    3,534.69x = 4,876.29 × 2,275.50
  4. Step 4: Simplify right side
    3,534.69x = 11,095,997.90
  5. Step 5: Solve for x
    x = 11,095,997.90/3,534.69
  6. Step 6: Final answer
    x = 3,139.17

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