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Finding the Fourth Proportional to 5,407.75, 8,111.63 and 1,303.75

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Solution

The fourth proportional to 5,407.75, 8,111.63 and 1,303.75 is: 1,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.75 : 8,111.63 = 1,303.75 : x
  2. Step 2: Convert to fraction form
    5,407.75/8,111.63 = 1,303.75/x
  3. Step 3: Cross multiply
    5,407.75x = 8,111.63 × 1,303.75
  4. Step 4: Simplify right side
    5,407.75x = 10,575,537.61
  5. Step 5: Solve for x
    x = 10,575,537.61/5,407.75
  6. Step 6: Final answer
    x = 1,955.63

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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.