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Finding the Fourth Proportional to 6,068.16, 9,104.64 and 2,988

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Solution

The fourth proportional to 6,068.16, 9,104.64 and 2,988 is: 4,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.16 : 9,104.64 = 2,988 : x
  2. Step 2: Convert to fraction form
    6,068.16/9,104.64 = 2,988/x
  3. Step 3: Cross multiply
    6,068.16x = 9,104.64 × 2,988
  4. Step 4: Simplify right side
    6,068.16x = 27,204,664.32
  5. Step 5: Solve for x
    x = 27,204,664.32/6,068.16
  6. Step 6: Final answer
    x = 4,483.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.