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Finding the Fourth Proportional to 5,048.46, 7,573.53 and 1,585.50

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Solution

The fourth proportional to 5,048.46, 7,573.53 and 1,585.50 is: 2,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.46 : 7,573.53 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    5,048.46/7,573.53 = 1,585.50/x
  3. Step 3: Cross multiply
    5,048.46x = 7,573.53 × 1,585.50
  4. Step 4: Simplify right side
    5,048.46x = 12,007,831.82
  5. Step 5: Solve for x
    x = 12,007,831.82/5,048.46
  6. Step 6: Final answer
    x = 2,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.