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Finding the Fourth Proportional to 3,547.81, 4,897.49 and 2,221.23

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Solution

The fourth proportional to 3,547.81, 4,897.49 and 2,221.23 is: 3,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.81 : 4,897.49 = 2,221.23 : x
  2. Step 2: Convert to fraction form
    3,547.81/4,897.49 = 2,221.23/x
  3. Step 3: Cross multiply
    3,547.81x = 4,897.49 × 2,221.23
  4. Step 4: Simplify right side
    3,547.81x = 10,878,440.61
  5. Step 5: Solve for x
    x = 10,878,440.61/3,547.81
  6. Step 6: Final answer
    x = 3,066.24

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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.