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Finding the Fourth Proportional to 5,312.66, 7,970.27 and 2,538.54

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Solution

The fourth proportional to 5,312.66, 7,970.27 and 2,538.54 is: 3,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.66 : 7,970.27 = 2,538.54 : x
  2. Step 2: Convert to fraction form
    5,312.66/7,970.27 = 2,538.54/x
  3. Step 3: Cross multiply
    5,312.66x = 7,970.27 × 2,538.54
  4. Step 4: Simplify right side
    5,312.66x = 20,232,836.51
  5. Step 5: Solve for x
    x = 20,232,836.51/5,312.66
  6. Step 6: Final answer
    x = 3,808.42

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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.