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Finding the Fourth Proportional to 4,567.84, 6,301.61 and 2,678.47

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Solution

The fourth proportional to 4,567.84, 6,301.61 and 2,678.47 is: 3,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.84 : 6,301.61 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    4,567.84/6,301.61 = 2,678.47/x
  3. Step 3: Cross multiply
    4,567.84x = 6,301.61 × 2,678.47
  4. Step 4: Simplify right side
    4,567.84x = 16,878,669.30
  5. Step 5: Solve for x
    x = 16,878,669.30/4,567.84
  6. Step 6: Final answer
    x = 3,695.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.