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Finding the Fourth Proportional to 4,492.71, 6,734.34 and 1,568.84

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Solution

The fourth proportional to 4,492.71, 6,734.34 and 1,568.84 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.71 : 6,734.34 = 1,568.84 : x
  2. Step 2: Convert to fraction form
    4,492.71/6,734.34 = 1,568.84/x
  3. Step 3: Cross multiply
    4,492.71x = 6,734.34 × 1,568.84
  4. Step 4: Simplify right side
    4,492.71x = 10,565,068.29
  5. Step 5: Solve for x
    x = 10,565,068.29/4,492.71
  6. Step 6: Final answer
    x = 2,351.60

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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.