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Finding the Fourth Proportional to 3,698.52, 5,547.76 and 962.52

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Solution

The fourth proportional to 3,698.52, 5,547.76 and 962.52 is: 1,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.52 : 5,547.76 = 962.52 : x
  2. Step 2: Convert to fraction form
    3,698.52/5,547.76 = 962.52/x
  3. Step 3: Cross multiply
    3,698.52x = 5,547.76 × 962.52
  4. Step 4: Simplify right side
    3,698.52x = 5,339,829.96
  5. Step 5: Solve for x
    x = 5,339,829.96/3,698.52
  6. Step 6: Final answer
    x = 1,443.77

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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.