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Finding the Fourth Proportional to 5,283.69, 7,925.49 and 1,585.77

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Solution

The fourth proportional to 5,283.69, 7,925.49 and 1,585.77 is: 2,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.69 : 7,925.49 = 1,585.77 : x
  2. Step 2: Convert to fraction form
    5,283.69/7,925.49 = 1,585.77/x
  3. Step 3: Cross multiply
    5,283.69x = 7,925.49 × 1,585.77
  4. Step 4: Simplify right side
    5,283.69x = 12,567,996.35
  5. Step 5: Solve for x
    x = 12,567,996.35/5,283.69
  6. Step 6: Final answer
    x = 2,378.64

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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.