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Finding the Fourth Proportional to 4,875.64, 7,309.14 and 3,726.52

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Solution

The fourth proportional to 4,875.64, 7,309.14 and 3,726.52 is: 5,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.64 : 7,309.14 = 3,726.52 : x
  2. Step 2: Convert to fraction form
    4,875.64/7,309.14 = 3,726.52/x
  3. Step 3: Cross multiply
    4,875.64x = 7,309.14 × 3,726.52
  4. Step 4: Simplify right side
    4,875.64x = 27,237,656.39
  5. Step 5: Solve for x
    x = 27,237,656.39/4,875.64
  6. Step 6: Final answer
    x = 5,586.48

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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.