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Finding the Fourth Proportional to 3,038.54, 4,560.29 and 1,578.11

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Solution

The fourth proportional to 3,038.54, 4,560.29 and 1,578.11 is: 2,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.54 : 4,560.29 = 1,578.11 : x
  2. Step 2: Convert to fraction form
    3,038.54/4,560.29 = 1,578.11/x
  3. Step 3: Cross multiply
    3,038.54x = 4,560.29 × 1,578.11
  4. Step 4: Simplify right side
    3,038.54x = 7,196,639.25
  5. Step 5: Solve for x
    x = 7,196,639.25/3,038.54
  6. Step 6: Final answer
    x = 2,368.45

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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.