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Finding the Fourth Proportional to 3,573.90, 4,931.86 and 1,980.49

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Solution

The fourth proportional to 3,573.90, 4,931.86 and 1,980.49 is: 2,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.90 : 4,931.86 = 1,980.49 : x
  2. Step 2: Convert to fraction form
    3,573.90/4,931.86 = 1,980.49/x
  3. Step 3: Cross multiply
    3,573.90x = 4,931.86 × 1,980.49
  4. Step 4: Simplify right side
    3,573.90x = 9,767,499.41
  5. Step 5: Solve for x
    x = 9,767,499.41/3,573.90
  6. Step 6: Final answer
    x = 2,733.01

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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.