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Finding the Fourth Proportional to 4,034.48, 6,051.12 and 1,569.12

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Solution

The fourth proportional to 4,034.48, 6,051.12 and 1,569.12 is: 2,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.48 : 6,051.12 = 1,569.12 : x
  2. Step 2: Convert to fraction form
    4,034.48/6,051.12 = 1,569.12/x
  3. Step 3: Cross multiply
    4,034.48x = 6,051.12 × 1,569.12
  4. Step 4: Simplify right side
    4,034.48x = 9,494,933.41
  5. Step 5: Solve for x
    x = 9,494,933.41/4,034.48
  6. Step 6: Final answer
    x = 2,353.45

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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.