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Finding the Fourth Proportional to 5,698.20, 8,547.30 and 5,256.60

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Solution

The fourth proportional to 5,698.20, 8,547.30 and 5,256.60 is: 7,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.20 : 8,547.30 = 5,256.60 : x
  2. Step 2: Convert to fraction form
    5,698.20/8,547.30 = 5,256.60/x
  3. Step 3: Cross multiply
    5,698.20x = 8,547.30 × 5,256.60
  4. Step 4: Simplify right side
    5,698.20x = 44,929,737.18
  5. Step 5: Solve for x
    x = 44,929,737.18/5,698.20
  6. Step 6: Final answer
    x = 7,884.90

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