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Finding the Fourth Proportional to 4,285.72, 6,427.68 and 1,207

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Solution

The fourth proportional to 4,285.72, 6,427.68 and 1,207 is: 1,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.72 : 6,427.68 = 1,207 : x
  2. Step 2: Convert to fraction form
    4,285.72/6,427.68 = 1,207/x
  3. Step 3: Cross multiply
    4,285.72x = 6,427.68 × 1,207
  4. Step 4: Simplify right side
    4,285.72x = 7,758,209.76
  5. Step 5: Solve for x
    x = 7,758,209.76/4,285.72
  6. Step 6: Final answer
    x = 1,810.25

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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.