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Finding the Fourth Proportional to 4,457.42, 6,685.92 and 1,535.65

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Solution

The fourth proportional to 4,457.42, 6,685.92 and 1,535.65 is: 2,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.42 : 6,685.92 = 1,535.65 : x
  2. Step 2: Convert to fraction form
    4,457.42/6,685.92 = 1,535.65/x
  3. Step 3: Cross multiply
    4,457.42x = 6,685.92 × 1,535.65
  4. Step 4: Simplify right side
    4,457.42x = 10,267,233.05
  5. Step 5: Solve for x
    x = 10,267,233.05/4,457.42
  6. Step 6: Final answer
    x = 2,303.40

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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.