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Finding the Fourth Proportional to 5,146.19, 7,719.26 and 1,250.63

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Solution

The fourth proportional to 5,146.19, 7,719.26 and 1,250.63 is: 1,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.19 : 7,719.26 = 1,250.63 : x
  2. Step 2: Convert to fraction form
    5,146.19/7,719.26 = 1,250.63/x
  3. Step 3: Cross multiply
    5,146.19x = 7,719.26 × 1,250.63
  4. Step 4: Simplify right side
    5,146.19x = 9,653,893.28
  5. Step 5: Solve for x
    x = 9,653,893.28/5,146.19
  6. Step 6: Final answer
    x = 1,875.93

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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.