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Finding the Fourth Proportional to 5,726.68, 8,588.64 and 1,566.70

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Solution

The fourth proportional to 5,726.68, 8,588.64 and 1,566.70 is: 2,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.68 : 8,588.64 = 1,566.70 : x
  2. Step 2: Convert to fraction form
    5,726.68/8,588.64 = 1,566.70/x
  3. Step 3: Cross multiply
    5,726.68x = 8,588.64 × 1,566.70
  4. Step 4: Simplify right side
    5,726.68x = 13,455,822.29
  5. Step 5: Solve for x
    x = 13,455,822.29/5,726.68
  6. Step 6: Final answer
    x = 2,349.67

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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.