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Finding the Fourth Proportional to 4,205, 6,307.72 and 1,607.76

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Solution

The fourth proportional to 4,205, 6,307.72 and 1,607.76 is: 2,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 6,307.72 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    4,205/6,307.72 = 1,607.76/x
  3. Step 3: Cross multiply
    4,205x = 6,307.72 × 1,607.76
  4. Step 4: Simplify right side
    4,205x = 10,141,299.91
  5. Step 5: Solve for x
    x = 10,141,299.91/4,205
  6. Step 6: Final answer
    x = 2,411.72

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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.