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Finding the Fourth Proportional to 4,807.72, 7,210.14 and 2,209

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Solution

The fourth proportional to 4,807.72, 7,210.14 and 2,209 is: 3,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.72 : 7,210.14 = 2,209 : x
  2. Step 2: Convert to fraction form
    4,807.72/7,210.14 = 2,209/x
  3. Step 3: Cross multiply
    4,807.72x = 7,210.14 × 2,209
  4. Step 4: Simplify right side
    4,807.72x = 15,927,199.26
  5. Step 5: Solve for x
    x = 15,927,199.26/4,807.72
  6. Step 6: Final answer
    x = 3,312.84

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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.