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Finding the Fourth Proportional to 3,547.62, 4,895.82 and 1,975.68

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Solution

The fourth proportional to 3,547.62, 4,895.82 and 1,975.68 is: 2,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.62 : 4,895.82 = 1,975.68 : x
  2. Step 2: Convert to fraction form
    3,547.62/4,895.82 = 1,975.68/x
  3. Step 3: Cross multiply
    3,547.62x = 4,895.82 × 1,975.68
  4. Step 4: Simplify right side
    3,547.62x = 9,672,573.66
  5. Step 5: Solve for x
    x = 9,672,573.66/3,547.62
  6. Step 6: Final answer
    x = 2,726.50

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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.