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Finding the Fourth Proportional to 4,840.24, 7,244.16 and 4,254.88

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Solution

The fourth proportional to 4,840.24, 7,244.16 and 4,254.88 is: 6,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.24 : 7,244.16 = 4,254.88 : x
  2. Step 2: Convert to fraction form
    4,840.24/7,244.16 = 4,254.88/x
  3. Step 3: Cross multiply
    4,840.24x = 7,244.16 × 4,254.88
  4. Step 4: Simplify right side
    4,840.24x = 30,823,031.50
  5. Step 5: Solve for x
    x = 30,823,031.50/4,840.24
  6. Step 6: Final answer
    x = 6,368.08

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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.