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Finding the Fourth Proportional to 5,688.40, 8,532 and 1,528.84

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Solution

The fourth proportional to 5,688.40, 8,532 and 1,528.84 is: 2,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.40 : 8,532 = 1,528.84 : x
  2. Step 2: Convert to fraction form
    5,688.40/8,532 = 1,528.84/x
  3. Step 3: Cross multiply
    5,688.40x = 8,532 × 1,528.84
  4. Step 4: Simplify right side
    5,688.40x = 13,044,062.88
  5. Step 5: Solve for x
    x = 13,044,062.88/5,688.40
  6. Step 6: Final answer
    x = 2,293.10

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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.