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Finding the Fourth Proportional to 5,670.70, 8,507.76 and 1,775.14

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Solution

The fourth proportional to 5,670.70, 8,507.76 and 1,775.14 is: 2,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.70 : 8,507.76 = 1,775.14 : x
  2. Step 2: Convert to fraction form
    5,670.70/8,507.76 = 1,775.14/x
  3. Step 3: Cross multiply
    5,670.70x = 8,507.76 × 1,775.14
  4. Step 4: Simplify right side
    5,670.70x = 15,102,465.09
  5. Step 5: Solve for x
    x = 15,102,465.09/5,670.70
  6. Step 6: Final answer
    x = 2,663.25

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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.