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Finding the Fourth Proportional to 4,838.58, 7,254.27 and 1,549.76

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Solution

The fourth proportional to 4,838.58, 7,254.27 and 1,549.76 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.58 : 7,254.27 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    4,838.58/7,254.27 = 1,549.76/x
  3. Step 3: Cross multiply
    4,838.58x = 7,254.27 × 1,549.76
  4. Step 4: Simplify right side
    4,838.58x = 11,242,341.20
  5. Step 5: Solve for x
    x = 11,242,341.20/4,838.58
  6. Step 6: Final answer
    x = 2,323.48

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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.