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Finding the Fourth Proportional to 4,181.04, 6,271.80 and 1,407.48

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Solution

The fourth proportional to 4,181.04, 6,271.80 and 1,407.48 is: 2,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.04 : 6,271.80 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    4,181.04/6,271.80 = 1,407.48/x
  3. Step 3: Cross multiply
    4,181.04x = 6,271.80 × 1,407.48
  4. Step 4: Simplify right side
    4,181.04x = 8,827,433.06
  5. Step 5: Solve for x
    x = 8,827,433.06/4,181.04
  6. Step 6: Final answer
    x = 2,111.30

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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.