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Finding the Fourth Proportional to 4,752, 6,560.64 and 3,098.88

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Solution

The fourth proportional to 4,752, 6,560.64 and 3,098.88 is: 4,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 6,560.64 = 3,098.88 : x
  2. Step 2: Convert to fraction form
    4,752/6,560.64 = 3,098.88/x
  3. Step 3: Cross multiply
    4,752x = 6,560.64 × 3,098.88
  4. Step 4: Simplify right side
    4,752x = 20,330,636.08
  5. Step 5: Solve for x
    x = 20,330,636.08/4,752
  6. Step 6: Final answer
    x = 4,278.33

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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.