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Finding the Fourth Proportional to 5,194.74, 7,752.34 and 4,640.70

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Solution

The fourth proportional to 5,194.74, 7,752.34 and 4,640.70 is: 6,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.74 : 7,752.34 = 4,640.70 : x
  2. Step 2: Convert to fraction form
    5,194.74/7,752.34 = 4,640.70/x
  3. Step 3: Cross multiply
    5,194.74x = 7,752.34 × 4,640.70
  4. Step 4: Simplify right side
    5,194.74x = 35,976,284.24
  5. Step 5: Solve for x
    x = 35,976,284.24/5,194.74
  6. Step 6: Final answer
    x = 6,925.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.