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Finding the Fourth Proportional to 3,598.59, 4,966.17 and 2,106.57

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Solution

The fourth proportional to 3,598.59, 4,966.17 and 2,106.57 is: 2,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.59 : 4,966.17 = 2,106.57 : x
  2. Step 2: Convert to fraction form
    3,598.59/4,966.17 = 2,106.57/x
  3. Step 3: Cross multiply
    3,598.59x = 4,966.17 × 2,106.57
  4. Step 4: Simplify right side
    3,598.59x = 10,461,584.74
  5. Step 5: Solve for x
    x = 10,461,584.74/3,598.59
  6. Step 6: Final answer
    x = 2,907.13

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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.