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Finding the Fourth Proportional to 3,726.66, 5,586.87 and 1,875.54

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Solution

The fourth proportional to 3,726.66, 5,586.87 and 1,875.54 is: 2,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.66 : 5,586.87 = 1,875.54 : x
  2. Step 2: Convert to fraction form
    3,726.66/5,586.87 = 1,875.54/x
  3. Step 3: Cross multiply
    3,726.66x = 5,586.87 × 1,875.54
  4. Step 4: Simplify right side
    3,726.66x = 10,478,398.16
  5. Step 5: Solve for x
    x = 10,478,398.16/3,726.66
  6. Step 6: Final answer
    x = 2,811.74

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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.