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Finding the Fourth Proportional to 3,484.19, 5,228.08 and 2,315

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Solution

The fourth proportional to 3,484.19, 5,228.08 and 2,315 is: 3,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.19 : 5,228.08 = 2,315 : x
  2. Step 2: Convert to fraction form
    3,484.19/5,228.08 = 2,315/x
  3. Step 3: Cross multiply
    3,484.19x = 5,228.08 × 2,315
  4. Step 4: Simplify right side
    3,484.19x = 12,103,005.20
  5. Step 5: Solve for x
    x = 12,103,005.20/3,484.19
  6. Step 6: Final answer
    x = 3,473.69

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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.