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Finding the Fourth Proportional to 3,547.56, 4,896.63 and 2,056.47

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Solution

The fourth proportional to 3,547.56, 4,896.63 and 2,056.47 is: 2,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.56 : 4,896.63 = 2,056.47 : x
  2. Step 2: Convert to fraction form
    3,547.56/4,896.63 = 2,056.47/x
  3. Step 3: Cross multiply
    3,547.56x = 4,896.63 × 2,056.47
  4. Step 4: Simplify right side
    3,547.56x = 10,069,772.70
  5. Step 5: Solve for x
    x = 10,069,772.70/3,547.56
  6. Step 6: Final answer
    x = 2,838.51

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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.