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Finding the Fourth Proportional to 4,602.47, 6,907.64 and 1,831.10

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Solution

The fourth proportional to 4,602.47, 6,907.64 and 1,831.10 is: 2,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.47 : 6,907.64 = 1,831.10 : x
  2. Step 2: Convert to fraction form
    4,602.47/6,907.64 = 1,831.10/x
  3. Step 3: Cross multiply
    4,602.47x = 6,907.64 × 1,831.10
  4. Step 4: Simplify right side
    4,602.47x = 12,648,535.91
  5. Step 5: Solve for x
    x = 12,648,535.91/4,602.47
  6. Step 6: Final answer
    x = 2,748.21

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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.