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Finding the Fourth Proportional to 3,038.15, 4,557.24 and 846.89

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Solution

The fourth proportional to 3,038.15, 4,557.24 and 846.89 is: 1,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.15 : 4,557.24 = 846.89 : x
  2. Step 2: Convert to fraction form
    3,038.15/4,557.24 = 846.89/x
  3. Step 3: Cross multiply
    3,038.15x = 4,557.24 × 846.89
  4. Step 4: Simplify right side
    3,038.15x = 3,859,492.13
  5. Step 5: Solve for x
    x = 3,859,492.13/3,038.15
  6. Step 6: Final answer
    x = 1,270.34

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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.