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Finding the Fourth Proportional to 3,642.42, 5,463.58 and 1,045.34

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Solution

The fourth proportional to 3,642.42, 5,463.58 and 1,045.34 is: 1,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.42 : 5,463.58 = 1,045.34 : x
  2. Step 2: Convert to fraction form
    3,642.42/5,463.58 = 1,045.34/x
  3. Step 3: Cross multiply
    3,642.42x = 5,463.58 × 1,045.34
  4. Step 4: Simplify right side
    3,642.42x = 5,711,298.72
  5. Step 5: Solve for x
    x = 5,711,298.72/3,642.42
  6. Step 6: Final answer
    x = 1,568.00

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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.