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Finding the Fourth Proportional to 3,237.60, 4,545.60 and 3,237.60

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Solution

The fourth proportional to 3,237.60, 4,545.60 and 3,237.60 is: 4,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.60 : 4,545.60 = 3,237.60 : x
  2. Step 2: Convert to fraction form
    3,237.60/4,545.60 = 3,237.60/x
  3. Step 3: Cross multiply
    3,237.60x = 4,545.60 × 3,237.60
  4. Step 4: Simplify right side
    3,237.60x = 14,716,834.56
  5. Step 5: Solve for x
    x = 14,716,834.56/3,237.60
  6. Step 6: Final answer
    x = 4,545.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.