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Finding the Fourth Proportional to 5,572.18, 8,357.64 and 1,412.02

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Solution

The fourth proportional to 5,572.18, 8,357.64 and 1,412.02 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.18 : 8,357.64 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    5,572.18/8,357.64 = 1,412.02/x
  3. Step 3: Cross multiply
    5,572.18x = 8,357.64 × 1,412.02
  4. Step 4: Simplify right side
    5,572.18x = 11,801,154.83
  5. Step 5: Solve for x
    x = 11,801,154.83/5,572.18
  6. Step 6: Final answer
    x = 2,117.87

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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.