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Finding the Fourth Proportional to 4,700, 7,045.20 and 2,235.08

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Solution

The fourth proportional to 4,700, 7,045.20 and 2,235.08 is: 3,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 7,045.20 = 2,235.08 : x
  2. Step 2: Convert to fraction form
    4,700/7,045.20 = 2,235.08/x
  3. Step 3: Cross multiply
    4,700x = 7,045.20 × 2,235.08
  4. Step 4: Simplify right side
    4,700x = 15,746,585.62
  5. Step 5: Solve for x
    x = 15,746,585.62/4,700
  6. Step 6: Final answer
    x = 3,350.34

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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.