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Finding the Fourth Proportional to 5,952, 8,207.36 and 4,088.32

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Solution

The fourth proportional to 5,952, 8,207.36 and 4,088.32 is: 5,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 8,207.36 = 4,088.32 : x
  2. Step 2: Convert to fraction form
    5,952/8,207.36 = 4,088.32/x
  3. Step 3: Cross multiply
    5,952x = 8,207.36 × 4,088.32
  4. Step 4: Simplify right side
    5,952x = 33,554,314.04
  5. Step 5: Solve for x
    x = 33,554,314.04/5,952
  6. Step 6: Final answer
    x = 5,637.49

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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.