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Finding the Fourth Proportional to 5,137.19, 7,690.76 and 4,644.74

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Solution

The fourth proportional to 5,137.19, 7,690.76 and 4,644.74 is: 6,953.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.19 : 7,690.76 = 4,644.74 : x
  2. Step 2: Convert to fraction form
    5,137.19/7,690.76 = 4,644.74/x
  3. Step 3: Cross multiply
    5,137.19x = 7,690.76 × 4,644.74
  4. Step 4: Simplify right side
    5,137.19x = 35,721,518.92
  5. Step 5: Solve for x
    x = 35,721,518.92/5,137.19
  6. Step 6: Final answer
    x = 6,953.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.