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Finding the Fourth Proportional to 3,417.80, 5,123.10 and 1,953.80

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Solution

The fourth proportional to 3,417.80, 5,123.10 and 1,953.80 is: 2,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.80 : 5,123.10 = 1,953.80 : x
  2. Step 2: Convert to fraction form
    3,417.80/5,123.10 = 1,953.80/x
  3. Step 3: Cross multiply
    3,417.80x = 5,123.10 × 1,953.80
  4. Step 4: Simplify right side
    3,417.80x = 10,009,512.78
  5. Step 5: Solve for x
    x = 10,009,512.78/3,417.80
  6. Step 6: Final answer
    x = 2,928.64

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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.