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Finding the Fourth Proportional to 3,870.02, 5,340.60 and 2,101.60

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Solution

The fourth proportional to 3,870.02, 5,340.60 and 2,101.60 is: 2,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.02 : 5,340.60 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    3,870.02/5,340.60 = 2,101.60/x
  3. Step 3: Cross multiply
    3,870.02x = 5,340.60 × 2,101.60
  4. Step 4: Simplify right side
    3,870.02x = 11,223,804.96
  5. Step 5: Solve for x
    x = 11,223,804.96/3,870.02
  6. Step 6: Final answer
    x = 2,900.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.