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Finding the Fourth Proportional to 3,415.75, 4,712.71 and 2,088.16

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Solution

The fourth proportional to 3,415.75, 4,712.71 and 2,088.16 is: 2,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.75 : 4,712.71 = 2,088.16 : x
  2. Step 2: Convert to fraction form
    3,415.75/4,712.71 = 2,088.16/x
  3. Step 3: Cross multiply
    3,415.75x = 4,712.71 × 2,088.16
  4. Step 4: Simplify right side
    3,415.75x = 9,840,892.51
  5. Step 5: Solve for x
    x = 9,840,892.51/3,415.75
  6. Step 6: Final answer
    x = 2,881.03

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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.