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Finding the Fourth Proportional to 3,726.08, 5,586.98 and 1,533

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Solution

The fourth proportional to 3,726.08, 5,586.98 and 1,533 is: 2,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.08 : 5,586.98 = 1,533 : x
  2. Step 2: Convert to fraction form
    3,726.08/5,586.98 = 1,533/x
  3. Step 3: Cross multiply
    3,726.08x = 5,586.98 × 1,533
  4. Step 4: Simplify right side
    3,726.08x = 8,564,840.34
  5. Step 5: Solve for x
    x = 8,564,840.34/3,726.08
  6. Step 6: Final answer
    x = 2,298.62

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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.