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Finding the Fourth Proportional to 4,966.44, 6,846.45 and 3,547.62

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Solution

The fourth proportional to 4,966.44, 6,846.45 and 3,547.62 is: 4,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.44 : 6,846.45 = 3,547.62 : x
  2. Step 2: Convert to fraction form
    4,966.44/6,846.45 = 3,547.62/x
  3. Step 3: Cross multiply
    4,966.44x = 6,846.45 × 3,547.62
  4. Step 4: Simplify right side
    4,966.44x = 24,288,602.95
  5. Step 5: Solve for x
    x = 24,288,602.95/4,966.44
  6. Step 6: Final answer
    x = 4,890.55

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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.