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Finding the Fourth Proportional to 4,598.52, 6,346.10 and 2,831.14

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Solution

The fourth proportional to 4,598.52, 6,346.10 and 2,831.14 is: 3,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.52 : 6,346.10 = 2,831.14 : x
  2. Step 2: Convert to fraction form
    4,598.52/6,346.10 = 2,831.14/x
  3. Step 3: Cross multiply
    4,598.52x = 6,346.10 × 2,831.14
  4. Step 4: Simplify right side
    4,598.52x = 17,966,697.55
  5. Step 5: Solve for x
    x = 17,966,697.55/4,598.52
  6. Step 6: Final answer
    x = 3,907.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.