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Finding the Fourth Proportional to 3,585.95, 4,947.54 and 2,170.16

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Solution

The fourth proportional to 3,585.95, 4,947.54 and 2,170.16 is: 2,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.95 : 4,947.54 = 2,170.16 : x
  2. Step 2: Convert to fraction form
    3,585.95/4,947.54 = 2,170.16/x
  3. Step 3: Cross multiply
    3,585.95x = 4,947.54 × 2,170.16
  4. Step 4: Simplify right side
    3,585.95x = 10,736,953.41
  5. Step 5: Solve for x
    x = 10,736,953.41/3,585.95
  6. Step 6: Final answer
    x = 2,994.17

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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.