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Finding the Fourth Proportional to 7,056.59, 9,738.20 and 3,870.17

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Solution

The fourth proportional to 7,056.59, 9,738.20 and 3,870.17 is: 5,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.59 : 9,738.20 = 3,870.17 : x
  2. Step 2: Convert to fraction form
    7,056.59/9,738.20 = 3,870.17/x
  3. Step 3: Cross multiply
    7,056.59x = 9,738.20 × 3,870.17
  4. Step 4: Simplify right side
    7,056.59x = 37,688,489.49
  5. Step 5: Solve for x
    x = 37,688,489.49/7,056.59
  6. Step 6: Final answer
    x = 5,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.