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Finding the Fourth Proportional to 4,307.76, 6,461.76 and 1,709.28

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Solution

The fourth proportional to 4,307.76, 6,461.76 and 1,709.28 is: 2,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.76 : 6,461.76 = 1,709.28 : x
  2. Step 2: Convert to fraction form
    4,307.76/6,461.76 = 1,709.28/x
  3. Step 3: Cross multiply
    4,307.76x = 6,461.76 × 1,709.28
  4. Step 4: Simplify right side
    4,307.76x = 11,044,957.13
  5. Step 5: Solve for x
    x = 11,044,957.13/4,307.76
  6. Step 6: Final answer
    x = 2,563.97

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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.