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Finding the Fourth Proportional to 3,267.54, 4,870.53 and 3,005.10

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Solution

The fourth proportional to 3,267.54, 4,870.53 and 3,005.10 is: 4,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.54 : 4,870.53 = 3,005.10 : x
  2. Step 2: Convert to fraction form
    3,267.54/4,870.53 = 3,005.10/x
  3. Step 3: Cross multiply
    3,267.54x = 4,870.53 × 3,005.10
  4. Step 4: Simplify right side
    3,267.54x = 14,636,429.70
  5. Step 5: Solve for x
    x = 14,636,429.70/3,267.54
  6. Step 6: Final answer
    x = 4,479.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.