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Finding the Fourth Proportional to 4,647.72, 6,974.28 and 1,875.60

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Solution

The fourth proportional to 4,647.72, 6,974.28 and 1,875.60 is: 2,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.72 : 6,974.28 = 1,875.60 : x
  2. Step 2: Convert to fraction form
    4,647.72/6,974.28 = 1,875.60/x
  3. Step 3: Cross multiply
    4,647.72x = 6,974.28 × 1,875.60
  4. Step 4: Simplify right side
    4,647.72x = 13,080,959.57
  5. Step 5: Solve for x
    x = 13,080,959.57/4,647.72
  6. Step 6: Final answer
    x = 2,814.49

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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.