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Finding the Fourth Proportional to 3,670.40, 5,473.76 and 3,126.08

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Solution

The fourth proportional to 3,670.40, 5,473.76 and 3,126.08 is: 4,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.40 : 5,473.76 = 3,126.08 : x
  2. Step 2: Convert to fraction form
    3,670.40/5,473.76 = 3,126.08/x
  3. Step 3: Cross multiply
    3,670.40x = 5,473.76 × 3,126.08
  4. Step 4: Simplify right side
    3,670.40x = 17,111,411.66
  5. Step 5: Solve for x
    x = 17,111,411.66/3,670.40
  6. Step 6: Final answer
    x = 4,662.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.