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Finding the Fourth Proportional to 5,070.24, 7,606.38 and 1,785.66

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Solution

The fourth proportional to 5,070.24, 7,606.38 and 1,785.66 is: 2,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.24 : 7,606.38 = 1,785.66 : x
  2. Step 2: Convert to fraction form
    5,070.24/7,606.38 = 1,785.66/x
  3. Step 3: Cross multiply
    5,070.24x = 7,606.38 × 1,785.66
  4. Step 4: Simplify right side
    5,070.24x = 13,582,408.51
  5. Step 5: Solve for x
    x = 13,582,408.51/5,070.24
  6. Step 6: Final answer
    x = 2,678.85

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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.