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Finding the Fourth Proportional to 4,230.04, 6,345.06 and 1,152.04

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Solution

The fourth proportional to 4,230.04, 6,345.06 and 1,152.04 is: 1,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.04 : 6,345.06 = 1,152.04 : x
  2. Step 2: Convert to fraction form
    4,230.04/6,345.06 = 1,152.04/x
  3. Step 3: Cross multiply
    4,230.04x = 6,345.06 × 1,152.04
  4. Step 4: Simplify right side
    4,230.04x = 7,309,731.20
  5. Step 5: Solve for x
    x = 7,309,731.20/4,230.04
  6. Step 6: Final answer
    x = 1,728.05

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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.