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Finding the Fourth Proportional to 3,225.40, 4,838.10 and 3,047.20

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Solution

The fourth proportional to 3,225.40, 4,838.10 and 3,047.20 is: 4,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.40 : 4,838.10 = 3,047.20 : x
  2. Step 2: Convert to fraction form
    3,225.40/4,838.10 = 3,047.20/x
  3. Step 3: Cross multiply
    3,225.40x = 4,838.10 × 3,047.20
  4. Step 4: Simplify right side
    3,225.40x = 14,742,658.32
  5. Step 5: Solve for x
    x = 14,742,658.32/3,225.40
  6. Step 6: Final answer
    x = 4,570.80

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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.