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Finding the Fourth Proportional to 3,005.73, 4,510.22 and 1,547.73

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Solution

The fourth proportional to 3,005.73, 4,510.22 and 1,547.73 is: 2,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.73 : 4,510.22 = 1,547.73 : x
  2. Step 2: Convert to fraction form
    3,005.73/4,510.22 = 1,547.73/x
  3. Step 3: Cross multiply
    3,005.73x = 4,510.22 × 1,547.73
  4. Step 4: Simplify right side
    3,005.73x = 6,980,595.06
  5. Step 5: Solve for x
    x = 6,980,595.06/3,005.73
  6. Step 6: Final answer
    x = 2,322.43

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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.