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Finding the Fourth Proportional to 3,851.86, 5,775.18 and 1,510.40

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Solution

The fourth proportional to 3,851.86, 5,775.18 and 1,510.40 is: 2,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.86 : 5,775.18 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    3,851.86/5,775.18 = 1,510.40/x
  3. Step 3: Cross multiply
    3,851.86x = 5,775.18 × 1,510.40
  4. Step 4: Simplify right side
    3,851.86x = 8,722,831.87
  5. Step 5: Solve for x
    x = 8,722,831.87/3,851.86
  6. Step 6: Final answer
    x = 2,264.58

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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.