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Finding the Fourth Proportional to 3,545.46, 4,893.06 and 2,053.50

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Solution

The fourth proportional to 3,545.46, 4,893.06 and 2,053.50 is: 2,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.46 : 4,893.06 = 2,053.50 : x
  2. Step 2: Convert to fraction form
    3,545.46/4,893.06 = 2,053.50/x
  3. Step 3: Cross multiply
    3,545.46x = 4,893.06 × 2,053.50
  4. Step 4: Simplify right side
    3,545.46x = 10,047,898.71
  5. Step 5: Solve for x
    x = 10,047,898.71/3,545.46
  6. Step 6: Final answer
    x = 2,834.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.