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Finding the Fourth Proportional to 6,038.34, 9,056.47 and 1,596.05

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Solution

The fourth proportional to 6,038.34, 9,056.47 and 1,596.05 is: 2,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.34 : 9,056.47 = 1,596.05 : x
  2. Step 2: Convert to fraction form
    6,038.34/9,056.47 = 1,596.05/x
  3. Step 3: Cross multiply
    6,038.34x = 9,056.47 × 1,596.05
  4. Step 4: Simplify right side
    6,038.34x = 14,454,578.94
  5. Step 5: Solve for x
    x = 14,454,578.94/6,038.34
  6. Step 6: Final answer
    x = 2,393.80

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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.