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Finding the Fourth Proportional to 4,602.94, 6,352 and 2,507.07

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Solution

The fourth proportional to 4,602.94, 6,352 and 2,507.07 is: 3,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.94 : 6,352 = 2,507.07 : x
  2. Step 2: Convert to fraction form
    4,602.94/6,352 = 2,507.07/x
  3. Step 3: Cross multiply
    4,602.94x = 6,352 × 2,507.07
  4. Step 4: Simplify right side
    4,602.94x = 15,924,908.64
  5. Step 5: Solve for x
    x = 15,924,908.64/4,602.94
  6. Step 6: Final answer
    x = 3,459.73

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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.