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Finding the Fourth Proportional to 4,655.72, 6,981.74 and 2,056.84

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Solution

The fourth proportional to 4,655.72, 6,981.74 and 2,056.84 is: 3,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.72 : 6,981.74 = 2,056.84 : x
  2. Step 2: Convert to fraction form
    4,655.72/6,981.74 = 2,056.84/x
  3. Step 3: Cross multiply
    4,655.72x = 6,981.74 × 2,056.84
  4. Step 4: Simplify right side
    4,655.72x = 14,360,322.10
  5. Step 5: Solve for x
    x = 14,360,322.10/4,655.72
  6. Step 6: Final answer
    x = 3,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.