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Finding the Fourth Proportional to 4,497.58, 6,747.72 and 2,307.84

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Solution

The fourth proportional to 4,497.58, 6,747.72 and 2,307.84 is: 3,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.58 : 6,747.72 = 2,307.84 : x
  2. Step 2: Convert to fraction form
    4,497.58/6,747.72 = 2,307.84/x
  3. Step 3: Cross multiply
    4,497.58x = 6,747.72 × 2,307.84
  4. Step 4: Simplify right side
    4,497.58x = 15,572,658.12
  5. Step 5: Solve for x
    x = 15,572,658.12/4,497.58
  6. Step 6: Final answer
    x = 3,462.45

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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.