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Finding the Fourth Proportional to 4,497.95, 6,746.97 and 1,576.25

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Solution

The fourth proportional to 4,497.95, 6,746.97 and 1,576.25 is: 2,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.95 : 6,746.97 = 1,576.25 : x
  2. Step 2: Convert to fraction form
    4,497.95/6,746.97 = 1,576.25/x
  3. Step 3: Cross multiply
    4,497.95x = 6,746.97 × 1,576.25
  4. Step 4: Simplify right side
    4,497.95x = 10,634,911.46
  5. Step 5: Solve for x
    x = 10,634,911.46/4,497.95
  6. Step 6: Final answer
    x = 2,364.39

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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.