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Finding the Fourth Proportional to 4,740.67, 7,095.51 and 4,285.96

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Solution

The fourth proportional to 4,740.67, 7,095.51 and 4,285.96 is: 6,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.67 : 7,095.51 = 4,285.96 : x
  2. Step 2: Convert to fraction form
    4,740.67/7,095.51 = 4,285.96/x
  3. Step 3: Cross multiply
    4,740.67x = 7,095.51 × 4,285.96
  4. Step 4: Simplify right side
    4,740.67x = 30,411,054.30
  5. Step 5: Solve for x
    x = 30,411,054.30/4,740.67
  6. Step 6: Final answer
    x = 6,414.93

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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.