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Finding the Fourth Proportional to 4,043.68, 6,064.01 and 1,410.51

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Solution

The fourth proportional to 4,043.68, 6,064.01 and 1,410.51 is: 2,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.68 : 6,064.01 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    4,043.68/6,064.01 = 1,410.51/x
  3. Step 3: Cross multiply
    4,043.68x = 6,064.01 × 1,410.51
  4. Step 4: Simplify right side
    4,043.68x = 8,553,346.75
  5. Step 5: Solve for x
    x = 8,553,346.75/4,043.68
  6. Step 6: Final answer
    x = 2,115.24

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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.