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Finding the Fourth Proportional to 6,066.40, 9,088.40 and 3,461.60

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Solution

The fourth proportional to 6,066.40, 9,088.40 and 3,461.60 is: 5,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.40 : 9,088.40 = 3,461.60 : x
  2. Step 2: Convert to fraction form
    6,066.40/9,088.40 = 3,461.60/x
  3. Step 3: Cross multiply
    6,066.40x = 9,088.40 × 3,461.60
  4. Step 4: Simplify right side
    6,066.40x = 31,460,405.44
  5. Step 5: Solve for x
    x = 31,460,405.44/6,066.40
  6. Step 6: Final answer
    x = 5,186.01

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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.