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Finding the Fourth Proportional to 4,768, 7,152.92 and 2,304.52

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Solution

The fourth proportional to 4,768, 7,152.92 and 2,304.52 is: 3,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 7,152.92 = 2,304.52 : x
  2. Step 2: Convert to fraction form
    4,768/7,152.92 = 2,304.52/x
  3. Step 3: Cross multiply
    4,768x = 7,152.92 × 2,304.52
  4. Step 4: Simplify right side
    4,768x = 16,484,047.20
  5. Step 5: Solve for x
    x = 16,484,047.20/4,768
  6. Step 6: Final answer
    x = 3,457.22

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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.