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Finding the Fourth Proportional to 4,342.12, 6,502.06 and 2,392.16

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Solution

The fourth proportional to 4,342.12, 6,502.06 and 2,392.16 is: 3,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.12 : 6,502.06 = 2,392.16 : x
  2. Step 2: Convert to fraction form
    4,342.12/6,502.06 = 2,392.16/x
  3. Step 3: Cross multiply
    4,342.12x = 6,502.06 × 2,392.16
  4. Step 4: Simplify right side
    4,342.12x = 15,553,967.85
  5. Step 5: Solve for x
    x = 15,553,967.85/4,342.12
  6. Step 6: Final answer
    x = 3,582.11

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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.