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Finding the Fourth Proportional to 6,407.50, 8,842.10 and 3,574.83

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Solution

The fourth proportional to 6,407.50, 8,842.10 and 3,574.83 is: 4,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.50 : 8,842.10 = 3,574.83 : x
  2. Step 2: Convert to fraction form
    6,407.50/8,842.10 = 3,574.83/x
  3. Step 3: Cross multiply
    6,407.50x = 8,842.10 × 3,574.83
  4. Step 4: Simplify right side
    6,407.50x = 31,609,004.34
  5. Step 5: Solve for x
    x = 31,609,004.34/6,407.50
  6. Step 6: Final answer
    x = 4,933.13

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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.