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Finding the Fourth Proportional to 4,547.82, 6,782.17 and 4,043.84

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Solution

The fourth proportional to 4,547.82, 6,782.17 and 4,043.84 is: 6,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.82 : 6,782.17 = 4,043.84 : x
  2. Step 2: Convert to fraction form
    4,547.82/6,782.17 = 4,043.84/x
  3. Step 3: Cross multiply
    4,547.82x = 6,782.17 × 4,043.84
  4. Step 4: Simplify right side
    4,547.82x = 27,426,020.66
  5. Step 5: Solve for x
    x = 27,426,020.66/4,547.82
  6. Step 6: Final answer
    x = 6,030.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.