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Finding the Fourth Proportional to 3,246.48, 4,871.88 and 3,030.48

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Solution

The fourth proportional to 3,246.48, 4,871.88 and 3,030.48 is: 4,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.48 : 4,871.88 = 3,030.48 : x
  2. Step 2: Convert to fraction form
    3,246.48/4,871.88 = 3,030.48/x
  3. Step 3: Cross multiply
    3,246.48x = 4,871.88 × 3,030.48
  4. Step 4: Simplify right side
    3,246.48x = 14,764,134.90
  5. Step 5: Solve for x
    x = 14,764,134.90/3,246.48
  6. Step 6: Final answer
    x = 4,547.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.