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Finding the Fourth Proportional to 4,646.76, 6,955.74 and 3,347.88

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Solution

The fourth proportional to 4,646.76, 6,955.74 and 3,347.88 is: 5,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.76 : 6,955.74 = 3,347.88 : x
  2. Step 2: Convert to fraction form
    4,646.76/6,955.74 = 3,347.88/x
  3. Step 3: Cross multiply
    4,646.76x = 6,955.74 × 3,347.88
  4. Step 4: Simplify right side
    4,646.76x = 23,286,982.83
  5. Step 5: Solve for x
    x = 23,286,982.83/4,646.76
  6. Step 6: Final answer
    x = 5,011.45

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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.