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Finding the Fourth Proportional to 4,386, 6,052.42 and 2,396.16

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Solution

The fourth proportional to 4,386, 6,052.42 and 2,396.16 is: 3,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386 : 6,052.42 = 2,396.16 : x
  2. Step 2: Convert to fraction form
    4,386/6,052.42 = 2,396.16/x
  3. Step 3: Cross multiply
    4,386x = 6,052.42 × 2,396.16
  4. Step 4: Simplify right side
    4,386x = 14,502,566.71
  5. Step 5: Solve for x
    x = 14,502,566.71/4,386
  6. Step 6: Final answer
    x = 3,306.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.