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Finding the Fourth Proportional to 3,407.16, 4,701.90 and 2,009.88

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Solution

The fourth proportional to 3,407.16, 4,701.90 and 2,009.88 is: 2,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.16 : 4,701.90 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    3,407.16/4,701.90 = 2,009.88/x
  3. Step 3: Cross multiply
    3,407.16x = 4,701.90 × 2,009.88
  4. Step 4: Simplify right side
    3,407.16x = 9,450,254.77
  5. Step 5: Solve for x
    x = 9,450,254.77/3,407.16
  6. Step 6: Final answer
    x = 2,773.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.