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Finding the Fourth Proportional to 4,152.08, 6,228.40 and 1,230.40

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Solution

The fourth proportional to 4,152.08, 6,228.40 and 1,230.40 is: 1,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.08 : 6,228.40 = 1,230.40 : x
  2. Step 2: Convert to fraction form
    4,152.08/6,228.40 = 1,230.40/x
  3. Step 3: Cross multiply
    4,152.08x = 6,228.40 × 1,230.40
  4. Step 4: Simplify right side
    4,152.08x = 7,663,423.36
  5. Step 5: Solve for x
    x = 7,663,423.36/4,152.08
  6. Step 6: Final answer
    x = 1,845.68

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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.