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Finding the Fourth Proportional to 3,038.24, 4,557.48 and 847.16

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Solution

The fourth proportional to 3,038.24, 4,557.48 and 847.16 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.24 : 4,557.48 = 847.16 : x
  2. Step 2: Convert to fraction form
    3,038.24/4,557.48 = 847.16/x
  3. Step 3: Cross multiply
    3,038.24x = 4,557.48 × 847.16
  4. Step 4: Simplify right side
    3,038.24x = 3,860,914.76
  5. Step 5: Solve for x
    x = 3,860,914.76/3,038.24
  6. Step 6: Final answer
    x = 1,270.77

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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.