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Finding the Fourth Proportional to 3,740.32, 5,610.56 and 1,547.68

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Solution

The fourth proportional to 3,740.32, 5,610.56 and 1,547.68 is: 2,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.32 : 5,610.56 = 1,547.68 : x
  2. Step 2: Convert to fraction form
    3,740.32/5,610.56 = 1,547.68/x
  3. Step 3: Cross multiply
    3,740.32x = 5,610.56 × 1,547.68
  4. Step 4: Simplify right side
    3,740.32x = 8,683,351.50
  5. Step 5: Solve for x
    x = 8,683,351.50/3,740.32
  6. Step 6: Final answer
    x = 2,321.55

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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.