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Finding the Fourth Proportional to 4,017.60, 6,026.40 and 3,434.40

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Solution

The fourth proportional to 4,017.60, 6,026.40 and 3,434.40 is: 5,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.60 : 6,026.40 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    4,017.60/6,026.40 = 3,434.40/x
  3. Step 3: Cross multiply
    4,017.60x = 6,026.40 × 3,434.40
  4. Step 4: Simplify right side
    4,017.60x = 20,697,068.16
  5. Step 5: Solve for x
    x = 20,697,068.16/4,017.60
  6. Step 6: Final answer
    x = 5,151.60

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