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Finding the Fourth Proportional to 4,668.21, 7,002.32 and 1,547.39

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Solution

The fourth proportional to 4,668.21, 7,002.32 and 1,547.39 is: 2,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.21 : 7,002.32 = 1,547.39 : x
  2. Step 2: Convert to fraction form
    4,668.21/7,002.32 = 1,547.39/x
  3. Step 3: Cross multiply
    4,668.21x = 7,002.32 × 1,547.39
  4. Step 4: Simplify right side
    4,668.21x = 10,835,323.13
  5. Step 5: Solve for x
    x = 10,835,323.13/4,668.21
  6. Step 6: Final answer
    x = 2,321.09

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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.