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Finding the Fourth Proportional to 3,497.76, 4,826.88 and 1,925.80

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Solution

The fourth proportional to 3,497.76, 4,826.88 and 1,925.80 is: 2,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.76 : 4,826.88 = 1,925.80 : x
  2. Step 2: Convert to fraction form
    3,497.76/4,826.88 = 1,925.80/x
  3. Step 3: Cross multiply
    3,497.76x = 4,826.88 × 1,925.80
  4. Step 4: Simplify right side
    3,497.76x = 9,295,605.50
  5. Step 5: Solve for x
    x = 9,295,605.50/3,497.76
  6. Step 6: Final answer
    x = 2,657.59

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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.