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Finding the Fourth Proportional to 4,547.62, 6,821.04 and 1,260.46

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Solution

The fourth proportional to 4,547.62, 6,821.04 and 1,260.46 is: 1,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.62 : 6,821.04 = 1,260.46 : x
  2. Step 2: Convert to fraction form
    4,547.62/6,821.04 = 1,260.46/x
  3. Step 3: Cross multiply
    4,547.62x = 6,821.04 × 1,260.46
  4. Step 4: Simplify right side
    4,547.62x = 8,597,648.08
  5. Step 5: Solve for x
    x = 8,597,648.08/4,547.62
  6. Step 6: Final answer
    x = 1,890.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.