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Finding the Fourth Proportional to 5,282.93, 7,925.72 and 1,585.23

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Solution

The fourth proportional to 5,282.93, 7,925.72 and 1,585.23 is: 2,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.93 : 7,925.72 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    5,282.93/7,925.72 = 1,585.23/x
  3. Step 3: Cross multiply
    5,282.93x = 7,925.72 × 1,585.23
  4. Step 4: Simplify right side
    5,282.93x = 12,564,096.05
  5. Step 5: Solve for x
    x = 12,564,096.05/5,282.93
  6. Step 6: Final answer
    x = 2,378.24

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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.