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Finding the Fourth Proportional to 4,668.61, 7,002.53 and 1,547.60

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Solution

The fourth proportional to 4,668.61, 7,002.53 and 1,547.60 is: 2,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.61 : 7,002.53 = 1,547.60 : x
  2. Step 2: Convert to fraction form
    4,668.61/7,002.53 = 1,547.60/x
  3. Step 3: Cross multiply
    4,668.61x = 7,002.53 × 1,547.60
  4. Step 4: Simplify right side
    4,668.61x = 10,837,115.43
  5. Step 5: Solve for x
    x = 10,837,115.43/4,668.61
  6. Step 6: Final answer
    x = 2,321.27

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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.