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Finding the Fourth Proportional to 5,285.64, 7,926.42 and 1,587

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Solution

The fourth proportional to 5,285.64, 7,926.42 and 1,587 is: 2,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.64 : 7,926.42 = 1,587 : x
  2. Step 2: Convert to fraction form
    5,285.64/7,926.42 = 1,587/x
  3. Step 3: Cross multiply
    5,285.64x = 7,926.42 × 1,587
  4. Step 4: Simplify right side
    5,285.64x = 12,579,228.54
  5. Step 5: Solve for x
    x = 12,579,228.54/5,285.64
  6. Step 6: Final answer
    x = 2,379.89

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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.