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Finding the Fourth Proportional to 3,547.02, 4,894.07 and 2,033.88

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Solution

The fourth proportional to 3,547.02, 4,894.07 and 2,033.88 is: 2,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.02 : 4,894.07 = 2,033.88 : x
  2. Step 2: Convert to fraction form
    3,547.02/4,894.07 = 2,033.88/x
  3. Step 3: Cross multiply
    3,547.02x = 4,894.07 × 2,033.88
  4. Step 4: Simplify right side
    3,547.02x = 9,953,956.18
  5. Step 5: Solve for x
    x = 9,953,956.18/3,547.02
  6. Step 6: Final answer
    x = 2,806.29

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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.