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Finding the Fourth Proportional to 5,101.65, 7,652.34 and 1,403.87

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Solution

The fourth proportional to 5,101.65, 7,652.34 and 1,403.87 is: 2,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.65 : 7,652.34 = 1,403.87 : x
  2. Step 2: Convert to fraction form
    5,101.65/7,652.34 = 1,403.87/x
  3. Step 3: Cross multiply
    5,101.65x = 7,652.34 × 1,403.87
  4. Step 4: Simplify right side
    5,101.65x = 10,742,852.29
  5. Step 5: Solve for x
    x = 10,742,852.29/5,101.65
  6. Step 6: Final answer
    x = 2,105.76

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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.