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Finding the Fourth Proportional to 2,959.47, 4,088.54 and 2,212.14

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Solution

The fourth proportional to 2,959.47, 4,088.54 and 2,212.14 is: 3,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.47 : 4,088.54 = 2,212.14 : x
  2. Step 2: Convert to fraction form
    2,959.47/4,088.54 = 2,212.14/x
  3. Step 3: Cross multiply
    2,959.47x = 4,088.54 × 2,212.14
  4. Step 4: Simplify right side
    2,959.47x = 9,044,443.74
  5. Step 5: Solve for x
    x = 9,044,443.74/2,959.47
  6. Step 6: Final answer
    x = 3,056.10

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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.