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Finding the Fourth Proportional to 6,038.46, 9,057.38 and 1,655.93

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Solution

The fourth proportional to 6,038.46, 9,057.38 and 1,655.93 is: 2,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.46 : 9,057.38 = 1,655.93 : x
  2. Step 2: Convert to fraction form
    6,038.46/9,057.38 = 1,655.93/x
  3. Step 3: Cross multiply
    6,038.46x = 9,057.38 × 1,655.93
  4. Step 4: Simplify right side
    6,038.46x = 14,998,333.70
  5. Step 5: Solve for x
    x = 14,998,333.70/6,038.46
  6. Step 6: Final answer
    x = 2,483.80

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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.