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Finding the Fourth Proportional to 4,668.40, 7,001.58 and 1,547.68

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Solution

The fourth proportional to 4,668.40, 7,001.58 and 1,547.68 is: 2,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.40 : 7,001.58 = 1,547.68 : x
  2. Step 2: Convert to fraction form
    4,668.40/7,001.58 = 1,547.68/x
  3. Step 3: Cross multiply
    4,668.40x = 7,001.58 × 1,547.68
  4. Step 4: Simplify right side
    4,668.40x = 10,836,205.33
  5. Step 5: Solve for x
    x = 10,836,205.33/4,668.40
  6. Step 6: Final answer
    x = 2,321.18

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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.