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Finding the Fourth Proportional to 5,707.55, 8,564.05 and 2,011.52

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Solution

The fourth proportional to 5,707.55, 8,564.05 and 2,011.52 is: 3,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.55 : 8,564.05 = 2,011.52 : x
  2. Step 2: Convert to fraction form
    5,707.55/8,564.05 = 2,011.52/x
  3. Step 3: Cross multiply
    5,707.55x = 8,564.05 × 2,011.52
  4. Step 4: Simplify right side
    5,707.55x = 17,226,715.04
  5. Step 5: Solve for x
    x = 17,226,715.04/5,707.55
  6. Step 6: Final answer
    x = 3,018.24

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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.