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Finding the Fourth Proportional to 5,009.94, 7,514.33 and 1,312.46

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Solution

The fourth proportional to 5,009.94, 7,514.33 and 1,312.46 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.94 : 7,514.33 = 1,312.46 : x
  2. Step 2: Convert to fraction form
    5,009.94/7,514.33 = 1,312.46/x
  3. Step 3: Cross multiply
    5,009.94x = 7,514.33 × 1,312.46
  4. Step 4: Simplify right side
    5,009.94x = 9,862,231.29
  5. Step 5: Solve for x
    x = 9,862,231.29/5,009.94
  6. Step 6: Final answer
    x = 1,968.53

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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.