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Finding the Fourth Proportional to 5,152.46, 7,730.04 and 2,230.08

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Solution

The fourth proportional to 5,152.46, 7,730.04 and 2,230.08 is: 3,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.46 : 7,730.04 = 2,230.08 : x
  2. Step 2: Convert to fraction form
    5,152.46/7,730.04 = 2,230.08/x
  3. Step 3: Cross multiply
    5,152.46x = 7,730.04 × 2,230.08
  4. Step 4: Simplify right side
    5,152.46x = 17,238,607.60
  5. Step 5: Solve for x
    x = 17,238,607.60/5,152.46
  6. Step 6: Final answer
    x = 3,345.70

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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.