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Finding the Fourth Proportional to 5,036.58, 7,549.65 and 3,646.49

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Solution

The fourth proportional to 5,036.58, 7,549.65 and 3,646.49 is: 5,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.58 : 7,549.65 = 3,646.49 : x
  2. Step 2: Convert to fraction form
    5,036.58/7,549.65 = 3,646.49/x
  3. Step 3: Cross multiply
    5,036.58x = 7,549.65 × 3,646.49
  4. Step 4: Simplify right side
    5,036.58x = 27,529,685.48
  5. Step 5: Solve for x
    x = 27,529,685.48/5,036.58
  6. Step 6: Final answer
    x = 5,465.95

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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.