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Finding the Fourth Proportional to 4,030.54, 6,044.64 and 1,564.78

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Solution

The fourth proportional to 4,030.54, 6,044.64 and 1,564.78 is: 2,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.54 : 6,044.64 = 1,564.78 : x
  2. Step 2: Convert to fraction form
    4,030.54/6,044.64 = 1,564.78/x
  3. Step 3: Cross multiply
    4,030.54x = 6,044.64 × 1,564.78
  4. Step 4: Simplify right side
    4,030.54x = 9,458,531.78
  5. Step 5: Solve for x
    x = 9,458,531.78/4,030.54
  6. Step 6: Final answer
    x = 2,346.72

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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.