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Finding the Fourth Proportional to 4,564.53, 6,298.02 and 2,771.46

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Solution

The fourth proportional to 4,564.53, 6,298.02 and 2,771.46 is: 3,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.53 : 6,298.02 = 2,771.46 : x
  2. Step 2: Convert to fraction form
    4,564.53/6,298.02 = 2,771.46/x
  3. Step 3: Cross multiply
    4,564.53x = 6,298.02 × 2,771.46
  4. Step 4: Simplify right side
    4,564.53x = 17,454,710.51
  5. Step 5: Solve for x
    x = 17,454,710.51/4,564.53
  6. Step 6: Final answer
    x = 3,823.99

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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.