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Finding the Fourth Proportional to 4,164.17, 5,746.63 and 2,275.70

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Solution

The fourth proportional to 4,164.17, 5,746.63 and 2,275.70 is: 3,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.17 : 5,746.63 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    4,164.17/5,746.63 = 2,275.70/x
  3. Step 3: Cross multiply
    4,164.17x = 5,746.63 × 2,275.70
  4. Step 4: Simplify right side
    4,164.17x = 13,077,570.94
  5. Step 5: Solve for x
    x = 13,077,570.94/4,164.17
  6. Step 6: Final answer
    x = 3,140.50

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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.