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Finding the Fourth Proportional to 4,646.49, 6,968.16 and 1,872.47

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Solution

The fourth proportional to 4,646.49, 6,968.16 and 1,872.47 is: 2,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.49 : 6,968.16 = 1,872.47 : x
  2. Step 2: Convert to fraction form
    4,646.49/6,968.16 = 1,872.47/x
  3. Step 3: Cross multiply
    4,646.49x = 6,968.16 × 1,872.47
  4. Step 4: Simplify right side
    4,646.49x = 13,047,635.71
  5. Step 5: Solve for x
    x = 13,047,635.71/4,646.49
  6. Step 6: Final answer
    x = 2,808.06

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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.