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Finding the Fourth Proportional to 5,523.69, 8,285.53 and 4,547.74

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Solution

The fourth proportional to 5,523.69, 8,285.53 and 4,547.74 is: 6,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.69 : 8,285.53 = 4,547.74 : x
  2. Step 2: Convert to fraction form
    5,523.69/8,285.53 = 4,547.74/x
  3. Step 3: Cross multiply
    5,523.69x = 8,285.53 × 4,547.74
  4. Step 4: Simplify right side
    5,523.69x = 37,680,404.12
  5. Step 5: Solve for x
    x = 37,680,404.12/5,523.69
  6. Step 6: Final answer
    x = 6,821.60

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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.