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Finding the Fourth Proportional to 4,012.80, 6,017.82 and 1,547.42

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Solution

The fourth proportional to 4,012.80, 6,017.82 and 1,547.42 is: 2,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.80 : 6,017.82 = 1,547.42 : x
  2. Step 2: Convert to fraction form
    4,012.80/6,017.82 = 1,547.42/x
  3. Step 3: Cross multiply
    4,012.80x = 6,017.82 × 1,547.42
  4. Step 4: Simplify right side
    4,012.80x = 9,312,064.94
  5. Step 5: Solve for x
    x = 9,312,064.94/4,012.80
  6. Step 6: Final answer
    x = 2,320.59

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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.